From 777207f68780855c6d58df4f96575fe308d9ea86 Mon Sep 17 00:00:00 2001 From: Andrew McCluskey Date: Wed, 3 Jun 2020 08:27:20 +0100 Subject: [PATCH 1/2] add mention that variable median isnt quite a median until sampling --- docs/source/max_likelihood.ipynb | 1 + 1 file changed, 1 insertion(+) diff --git a/docs/source/max_likelihood.ipynb b/docs/source/max_likelihood.ipynb index 097d943..3e3b1b0 100644 --- a/docs/source/max_likelihood.ipynb +++ b/docs/source/max_likelihood.ipynb @@ -168,6 +168,7 @@ "metadata": {}, "source": [ "We can see that the variables have changed to be close to the values used in the data synthesis. \n", + "Note, that here `variable_medians` are in fact the variable values that maximise the likelihood.\n", "\n", "Let's inspect the model visually. \n", "This can be achieved easily with the `plotting` module in `uravu`." From d5d0eb074057e08b16701fd89d8913e2c7472023 Mon Sep 17 00:00:00 2001 From: Andrew McCluskey Date: Wed, 3 Jun 2020 08:28:01 +0100 Subject: [PATCH 2/2] add variable_modes function to relationship and ensure compatibility with the distribution dist_max property --- docs/source/mcmc.ipynb | 40 ++++++++++++++++++++++++++------ uravu/distribution.py | 8 +++++-- uravu/relationship.py | 13 +++++++++++ uravu/tests/test_relationship.py | 11 +++++++++ 4 files changed, 63 insertions(+), 9 deletions(-) diff --git a/docs/source/mcmc.ipynb b/docs/source/mcmc.ipynb index 963fb23..dd1b6a6 100644 --- a/docs/source/mcmc.ipynb +++ b/docs/source/mcmc.ipynb @@ -92,7 +92,7 @@ "outputs": [ { "data": { - "image/png": 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sDkX54StrebI0cSfqOyN7c/9ZY+mfmbb3TtqBxBo34S+7h+Dav0IsBIBzwNF4i+bgGjxFrR2SSIFLRES6lY76mq8jLavcxXVLVrF1dwi308bvThnF1UcMbHVAitStJFA6n9CGJWDFAEjL/x6eotm4+h/ZkaVLKylwiYiIJEkoEuPXb27k7ve3YFnwjYFZPHjOOAr6eA94rmVZRKr/jb9kHuGtbyQGDQfpBdPxFs3C0WtMB1cvB0OBS0REJAlWVjdx1XOrKDebsdsMbj1hKLeeMBSn3fa151lWnJbNfydQOo+I+WFi0OHBM+ZSPBNvxJ4xuBOql4OlwCUiItKJYnGLu/+9hV+/uYFwzGJkbzcPnl3IEYOzv/7EeITguifxl84ntmsNAEZaLzyF1+IZfy229N6dUL0cKgUuERGRTrJ5V5Brl6zivc0NAFx9xEB+e8oovF/TId6K+MnZ8hdyNz9EY2g7ADbvQLwTbyJ9zCXYnBmdUru0jQKXiIhIB7Msi0Ul1fzwb2tpaonRL8PF/WeO5ZSCr+6rFQ/VEyhfQGDlAnwtiX5c9pzReItnkT7iXAz7wbWKkORS4BIREelAtf4ws5au4cVVNQBMHduXu08f85Vb8sSatxEou5fAmkchmtjOJ5hdTP3QG5j0zfMwjK9f4yWpSYFLRESkg7y+rpYbXliN2RwmM83OH04dzYXF/ffb7iG6ay3+0vmEKp4GKwqAa/AUvEWzWRsaB4ahsNWFKXCJiIi0M384xk9fq+Chj6oAODo/hwfPHkd+ry9vpRM2PyJQOo+WTa8kBgwb6SPOxVM0E2efiYkxbSjd5SlwiYiItKOPtu7mmiXlrK8L4rQb/OKkEdx89BDstv/e1bIsi/C2N/GXzCWy473EoD0N9+iL8Uy8CUfWsCRVLx0lZQOXz+ebCkzNz89PdikiIiIHFInF+f07m/j9sk3E4hbj+nl5+NxCJvTP3HuMFY/SsvFF/KVzidatBMBwZuEuvBrP+Ouxe/olq3zpYCkbuEzTXAosnTJlyjXJrkVEROTrrKv1c81zq/ikqhHDgJlHD+HnJw0n3Zlo92BFgwTXPUmg9C5iTZsAsLl9eCbMwD3ucmyuA/Tg6kRdaUukriRlA5eIiEiqsyyLv62tZeHHVQQjcQZlp/HAWeM4YXguAPGWBoKrFhJYeT/xYOIpRXvWcDxFM3GPugDDkZ7M8qUTKXCJiIh8jXA0Tn0wQm0gQp0/TF0gQn0wQp0/wtI1NZRsbwJgelF/7jy1gBy3k1igmsCK+wmuWogVSbzv6D0R76QfkDZ0KobtqxudSvekwCUiIj1GNBanPhjdE5gS4WnfnzB1/n1fN7bEvnbOzDQ7954xlrPH+4ju3kjjR3cRXLcI4mEAXHnH4ymeg2vgifttByE9gwKXiIh0G5Zl8c7GetbXBXiyZMe+QSoQYVcwetBz2m0GuW4HvT0uenuc9PY6E796XDS1RDluaC9O822n4R8/oqXyRbDigEHa0Kl4i2fj7PeN9v+g0uUocImISLfgD8e48cXVPLvC/MpjDAN6uROBqY/nv8Gp92e/9/73de6esew0Bzbbl+9MWZbFJ8v/Ru6aP1P/3r8SgzYn6QUX4i2aiSOnoKM+qnRBClwiItLlbawPMP3JFZSbzbgdNs4a349j8nvtE5x6e5z0cjv36Yd1KCwrTsuml/GXzGNwzXIADIcX97gr8Iy/AXvGwPb4SNLNKHCJiEiX9vq6Wq58tpyGUJRRvT3ccnw+Q3Lc7d7ewIqFCVUsxl96F7HdFQBEnbk0DLmMscfMxJaudgry1RS4RESkS4rHLX6/bBO/fWsjlgWnjenDgrMLKd3R1L7XCTcRXPMogRX3EfdvB8CWMRjvxJv5JP37WHa3wpYckAKXiIh0ObtDUa5bUs7La2oxDPjZt4fzP8cP3e9aq0MVD9YSWPlnAuUPYoV3A+DoNQ5P8SzSR5yNYXNiaY9DaSUFLhER6XDL9gST9viab02Nn+mLyqioC5CT7mDhuYWcXNCnzfN+Jta0GX/ZPQTX/BViQQCc/SfjLZ6Na/DJau0gh0SBS0REuowXV+3kuiWraA7HKPRl8OT0CQzP9bTL3JH6cgIl8wlteA6sRO8t15BTEkGr/+R2ucah0nY7XZ8Cl4iIpLxY3OLXb27gj//aDMC5E3zce8ZYvK62d2wPV7+Pv2Qe4S2vJQYMO+mjzsdbNAtH7rg2zy8CClwiIpLi6gIRrnxmJW9uqMduM/jNd0Zy09GD2/TVnmVZhLe8hr9kHhHzg8Sg3Y17zCV4J96IPTO/naoXSVDgEhGRlFW2o4npT5axuSFEH6+TR88bv3dj6ENhxSOENiwhUDKf6K5VABhpOXgKr8FTeB02d/utBRP5PAUuERFJSYtLq7nppdUEI3EOy8tk0fSJDMpOP6S5rGiA4Jq/4i+7m3jzVgBs3jw8E2bgHnMZNldme5Yu8iUKXCIiklIisTg/fW09932QCEaXHjaAP502mnTnwa/Xirc0ECh/kMDKP2OF6gCwZ4/CWzyL9JHTMOyudq1d5KsocImISMowm1u4dPFK3tvcgNNucOepBVx1+MCDXq/lCO2g6f0/EFzzKFakOTHW9xt4i2eTNvQ0DMPWEeWLfCUFLhERSQkfbd3NRYtXsL2xhf6ZLp44fyJHDsk+qDmiDRX4yu8ke8fzBKwIAK5B38ZbPBvngOPUQ0uSRoFLRESS7i8fV3HLK2sJxywmD8nm8fMn0D8zrdXnR3Yux18yl5ZNL5ODhYWNtOFn4S2ehbNPcQdWLtI6ClwiIpI0LdE4t7yylkc+SexReN2Rg7j9lFG4HAf+ys+yLMJVbxMomUt4+7LEoM1Fw4BzqR96DZMLJ3Vk6SIHRYFLRESSomp3iIueWsHHVY2kO2zcdfoYLiwecMDzrHiMlsqX8JfMJVpXBoDhzMI97ko8E65nrdn6O2MinUWBS0REOt2/Kndx6dMrqPFHGJKTzqILJlCcl/W151jREMGKpwiU3kWscSMANnc/PBNuwD3uSmyuz9Z7aUNpST0KXCIiPVh7birdGpZlcd8HW/nJa+uJxS2+NTyXv5xXSB/vV7dniIcbCa76C4EV9xEPmgDYM4fiKZqFu2A6huPQenOJdCYFLhER6RShaJyrn1vF4rJqAOYcm88vThqOw77/9VqxwE4CK/9McNVDWOFGABy9J+AtnkPasNMxbPorTLoO/dsqIiIdbntjiN+9VcnG+iBel537zxzL2eN9+z022lhJoPRuguuegFgLAM4Bx+ItnoNr0LfV2kG6JAUuERHpMJX1Qe5cVskTn+4gZsHI3m4WTZ/IuH4ZXzo2UluGv3Q+LRufBysOQNrQ0/AUzcblO6KzSxdpVwpcIiLS7tbXBfjDsk08WVpNLG5hM2DKyFweOW88OW7n3uMsyyKy4138JfMIb3szMWg4SC+YjrdoJo5eo5P0CUTalwKXiIi0m3W1fu58ZxOLy6qJW2C3GVwyaQAnDO9FXlb63rBlWXFaNv+NQMk8Ijs/BsBweHGPvQzPhBnYMwYl82OItLsODVw+n++bwHwgAlQBl5qmGenIa4qISOdbU+Pn9+9U8uwKk7gFDpvBpYcN4JbjhjIs1733aUgrFia0/hn8pfOJNawDwEjLxTP+OjyF12BLz03mxzhonfV0p3R9HX2HayvwbdM0gz6f73bgDODZDr6miIh0klU7m/m/tytZUr4TywKn3eCySQP44XFDye/l3nucEfWTU7WY2n8vJO6vAsDmHYS36Cbcoy/BcHqT9RFEOkWHBi7TNHd87mUYiHfk9UREpHOsrG7ijnc28UL5TgBcdoNLD8vjluOGMjjnv32x4qE6AisfYETZA9iju4kD9l5j8BbNIn3kuRg251dc4dDprpOkolYFLp/PdxNwOTABeNI0zcs/914u8DBwMlAL/Ng0zUVfOD9/z/u/aZeqRUQkKcp2NHH725UsXV0DQJrDxuXfyOMHx+YzMPu/QSvWvBV/2T0EVz8GsSB2IJh9GAOO+h9cQ07BMA68V6JId9LaO1zbSYSlUwD3F967l8TdKx9QDLzi8/lKTdMsB/D5fFnA48DlWr8lItI1fbq9kf97u5KX19QCkO6wccXhecw5Np+8rP8GrWj9avyl8wmtfxasKACuwSez3ncVwZwjGJrftdZoibSXVgUu0zSXAPh8vsOBvY+O+Hw+L3AOMN40zWbgXZ/P9xJwCfAjn8/nAJ4CfmWa5tr2Ll5ERDrWJ1WN3PFWJa+uSwQtt9PGVYcPZPax+fTP/O8m0eHq/+AvmUt4y98TA4aN9JHn4SmaibP3BIKV2t9Qera2ruEqAKKmaa773FgpcMKe308HjgR+5vP5fgbcb5rm4gNN6vP5rgWuBcjLy2tjiSIicrA+3LqbO96u5PWKOgA8ThvXfHMQM48Zgi8jEbQsyyK89Q38JXOJVL+fONGejnv0xXgm3oQja2iSqhdJPW0NXBlA4xfGdgOZAKZpPk7i68SDYprmAmABwJQpU6w21igiIq30wZYGbn+rkjc31APgddm59puDuPnoIfTLSGwwbcWjhDY+T6BkHtH6cgAMVxaecdfgHn8ddk+/pNUvkqraGriagawvjGUBTW2cV0REOtF7m3Zx+9uVvL0x8dVfhsvO9UcO4qajh9DHuydoRYME1z6Bv+wu4k1bALB5+uOZcCPusZdhc33xrwMR+UxbA9c6wOHz+UaZplmxZ6wIKG/jvCIi0gnKdjSxqGQHZdXNAGSl2bn+qMHcNHkIuZ5Ey4Z4SwPBVQ/jX3E/ViixlsuePQJP0Szco87HsKd95fwiktDathCOPcfaAbvP50snsXbL7/P5lgC/9vl8V5N4SvEM4OiOKlhERNouFre49dV1PPCfbQBkpzuYcdRgZkweTK892+/E/DsIrLiP4OpHsCKJLy4cfYrxFs8hbej3MWz2pNUv0tW09g7XbcAvPvf6YuBXwC+BGcBCYCdQB9zwWUsIERFJPcFIjCufLWfp6hocNoMLivpzx3dH7d3nMNqwnkDZXQTXPQXxMACugSfiKZ6DK+94DMNIZvkiXVJr20L8kkS42t979cCZ7VdSgs/nmwpMzc/Pb++pRUQO2md7AXb1LuZ1gQjnP1HKB1t3k5Pu4MffGsaE/pnkuJ1Eaj7FXzKPlsqXAAswSBt2Bt7i2Tj7Tkp26SJdWkfvpXjITNNcCiydMmXKNcmuRUSkO9i8K8iZj5dQURtgYFYaz19aTG1zGE/du+xa9TDhqrcTB9qcuAum45k4E0fOyKTWLNJdpGzgEhGR9lO2o4mzHi/BbA5T6MvguQvH02fXP/B8+EfcjWWEAcOZgXvsFXgm3IDdqx6IIu1JgUtEpJv75/o6Llq8gqaWGMcPzWbh4atxvD6D3bs34Aaizt5kF92Ap/BqbGk5yS5XpFtS4BIR6caeLNnBDS+sJhq3OHPQbu5wzML4YBsxwJY5hB0Dr2J33nkcN1J3tEQ6kgKXiEg3ZFkWf/rXZn7xjw0AXJP9KrdaD2MLWThyx+EpnkP68LNYvVl9qkU6Q8oGLj2lKCI9VVufiIzFLX74wsc8WNKIQZyfZj/CFZmv4Ow/GW/xHFyDv6PWDiKdLGUDl55SFBE5eI3mCq5a/Amv1g7GRYQ/5s7nrLE5eIpew9X/yGSXJ9JjpWzgEhGR1rEsi0j1+2z76H4uLzuK5eExZBnNLCz6iCkn/glH7thklyjS4ylwiYh0UZYVp2Xz3wmUzqOyqpIran/GxuhABqSHeH76OMYPOyPZJYrIHgpcIiJdjBWPEFr/LP7S+cR2rWFVeChX1t1BTSyHwr7pLLn0GAZmpye7zH109Q79Im2lwCUi0kVYET/BtY/jL72HuD+x6fR7fJsZ9dfTHLNz/LBePDl9Itnp+qNdJNWk7H+VekpRRCQhHqonUP4ggZUPYLXUA2DPKeCVzP9l1n96EY1bnDvBxwNnjSPNYUtytSKyPykbuPSUooj0dLHmbQTK7iWw5lGIBgBw9jscd9Fs7t1ayC//sRGwmHXMEP7fd0Zis6nVg0iqStnAJSLSU7ma15O7+QFqd7wAVjQxNngK3qLZ2HxHc+urFSz4cCOGAXd8dxQ3Th6S5IpF5EAUuEREUmxVc48AACAASURBVETY/IhAyVyGbf5bYsCwkTbiHLxFs3D2mUgwEuOyp1eydHUNLrvBQ+cUcvZ4X3KLFpFWUeASETmAaCzOopIdrKv1c/ywXCblZXJYXhaDstPa3LHdsizC297EXzKXyI73AIjbXDQOOJcRx/0PjqxhANQFIpz/RCkfbN1NTrqDJ6dP5Dg9+SfSZShwiYh8jV3BCJcuXslbGxOL1T/c2rj3vd4eJ4flZVGcl8lhA7OYlJfJwKzWhTArHqVl44v4S+cSrVsJgOHMwl14NWVZFxBL68vorESg2rwryJmPl1BRG2BgVhrPX1rMuH4ZHfBpRaSjKHCJiHyFtTV+zl9Uyvq6IDnpDi49LA+Xw8anVY18uqOJukCEN9bX8cb6ur3n9PV+OYQNyPxvCLOiIYLrFhEovYtY0yYAbG4fngkzcI+7HJsrm9ievRQBynY0cdbjJZjNYQp9GSy5uCjlemyJyIEpcImI7Mc/Kuq47JmV7A5FmdA/g1uOG0q/DNfeBp6WZbGlIcTy7Y2UbG9ieVUTJTsaqfFHeK2ijtcq/hvCfBkuivu7meBYx5jdz1LIcvrZG7BnDcNTNAv3qAswHF8OUf9cX8dFi1fQ1BJTjy2RLi5l/8tVHy4RSQbLsrjv/a38+LUK4hacMa4vC84u5JOqxn2OMwyD/F5u8nu5OavQt/fcTbtCfLq9kU+3NyV+rdqN2RzmtfVhXsMH3AhAf3ecSZ6+HFadxSRbM5MGGvgy0vbO/+b6Oua/t0U9tkS6iZQNXOrDJSKdLRyNM+fltTy6fDsAPzpxGD85cVir+1sZhsGwXDfDct2cPthPoPQxApFFbI7ksjI8nFWuEym3fYOyOjvVQXh1XR2vrvvvnbC8rDQOy8skHLN4fc8dMvXYEukeUjZwiYgcyLI9a53aY5++nc1hLnqqjPe37MbttPHns8ZxziG0XIjUluAvmU9L5YtgxTEwGD3yCA4rno2z3zcAiMctNu4Ksrxqz9eR2xsp3dHE9sYWtje2AGAAd3xPPbZEugsFLhHp8VZWNzFtURlbGkLkZaWx+MKJTMrLavX5lmUR2b4Mf+l8wtv+mRi0OUkvuBBv0UwcOQX7HG+zGYzs7WFkbw/TJvYHEiFsfX2Aku1NvLaulqIBmQpbIt2IApeI9Ggvr67hqufK8YdjHD4wi6cunEj/zLQDnwhYVpyWTS/jL5lHtGY5AIbDi3vs5XgmzMCeMbDVddhsBgV9vBT08bb6+iLSdShwiUiPZFkWf1i2mV+9uQGAC4r6c8/pY0h32g98bixMqGIx/tK7iO2uAMBIy8Uz4Xo8467Blt51GpK2x9exInJgClwi0uMEIzFmvLCaZ1aYGAb8asoI5hybf8CGpUa0GX/ZEwRW3Efcn1hYb8sYhHfizbhHX4zh9HZG+SLSBSlwiUiPsqOxhQueLOOTqkYyXHYWnlvIqWP6fu058WAtvdfPp9fWx2iO7gbA3mss3uLZpI84G8Pm7IzSRaQLU+ASkR7jk6pGLlhUxo6mFvJz0nn6oiIKfV+9RU6saTP+snsIrvkrfWJBAJy+I/EWz8E15GQMQ32xRKR1FLhEpEd4uqyaGS+sJhSNc0x+Dk9cMIE+Xtd+j43Wr8JfMo/QhufAigHQ3Ofb1A+9jiMOO6UzyxaRbiJlA5c6zYtIe4jHLf7fPzdy57JNAFz+jTz+dNpoXPvp2h6u/gB/yVzCW15LDBh20kdOw1M0k7WNrX/iUETki1I2cKnTvIi0VXNLlKuXrOLl1TXYbQZ3fHcU1x85aJ/F8ZZlEd76Ov6SeUSq308M2tNxj7kE78SbsGfu+Z++xl37uYKISOukbOASEWmLLQ1Bpj1RxkqzmZx0B49NG8+3R/be+74VjxLasIRA6Tyi9asAMFzZeAqvwTP+Omzur19ILyJyMBS4RKTdteeWO4fi35sbuPCpMmr9EUb19vD0RUWM6uMBwIoGCK59An/Z3cSbtgBg8wzAM3EG7jGXY3NlJqVmEeneFLhEpFt59JPtzH55DZGYxZSRuTxy3nhy3E7iLQ0Eyh8ksPIBrFAtAPbskXiLZpE+ahqGXd3dRaTjKHCJSLcQjcW57fX13PP+VgBunDyY3548EiNUTdMH9xFc/QhWpBkAR99JeIvnkJZ/GobtwJ3lRUTaSoFLRLq8hmCEy59ZyT/W1+O0G8z7/hguGuHH/+4sQhVPQTwCgGvgt/AWz8aZd/wBu8qLiLQnBS4R6dKqdoeYtXQNFbUBenucPPbdNIpqfkTdJ0sBCzBIG34W3qJZOPsWJ7tcEemhFLhEpEvaHYqydHUNjy/fTnM4xrhceGjwA/g+fIUWAJsLd8GFeIpuxpE9ItnlikgPp8AlIl2GZVl8vK2RhR9X8exKk2AkDsDJWWu5M/3XZNSFMJyZuMddiWfCDdg9/ZNcsYhIggKXiKS83aEoi8uq+cvHVayobt47fpS7govcL/Jd9wc4PH3wTPhf3GOvwJaWk8RqRUS+LGUDl7b2EenZLMti+fYmFn5UxTMrqgnsuZvV2xXlHO9bTHO9yDDnDsLuwWR/44+4C6ZjONxJrlpEZP9SNnBpax+RnqkxFOXpFdUs/KiKss/dzTqmdwPT7E/yHefbpBlRHL3HsyXvxzT1+x6DR6grvIiktpQNXCLSsyyvSqzNemaFiT8cAyDXbWNav/WcG7mHYbbNADgHHIO3eA6uQSdRvqkhmSWLiLSaApeIJE1TS5Sny6r5y8fbKdnRtHf8mIFOLsx6h2813U1aLAw2SMs/FU/xbFy+byal1mRtUyQi3YMCl4h0uk+377mbVWbSvOduVi+3g+kFFtOMvzK49lloAgwH6aMuxFs0E0evMcktWkSkDRS4RKRTNLdEeWaFycKPq/h0++fuZuVnc/HQGk7afSf22g8Sgw4PnjGX4Zl4I/aMQUmqWESk/ShwiUiHKt3RxMMfVfF0WfU+d7MunNiPC/uVMbDyJ8Q2rAXASOuFZ/x1eAqvxZaem8yyRUTalQKXiLS7YCTGO5W7+Nnr6/mkqnHv+OQh2VwxqQ+n2F8lXn4j8aptxACbdxDeiTfiHnMphtObvMJFRDqIApeItKtnVlRz84tr9t7Nykl3cGHxAC6b4CHffJzAygVEW3YBYO81Bm/RLNJHnothcyaz7JSiBfoi3Y8Cl4i0C384xq1/W8ejy7cDMKavlx8cl8/p+WGs1fcTeOMx/NEAAM5+R+ApnkNa/ncxDFsyyxYR6RQKXCLSZivNZi57egVrawKkO2xcfcRAzhi4i3H1v8b/0TNgRQFwDf4O3uLZOPsfjWEYSa5aRKTzKHCJ9BDLKhNf47Xn11WWZbHw4yr+99UKQtE4o/t6ePgkyFj7UzI/eIMQgGEjfeR5eIpm4uw9od2uLSLSlShwiSRRR4SgztIQjHDzS2t4vnwnABcXWNyWcTvOd5cBELel4R1zCZ6JN+HIGprESkVEkk+BS0QO2kdbd3P5MyvZ3BAiw2nxu/7PclrgKQiA4cqiduDF7Bp8OceMKUh2qSIiKUGBS0RaLR63mP/eFn715gaicYsJ6VuZl3MHQ61qbG4fnok34h57OWuqYskuVUQkpaRs4PL5fFOBqfn5+ckuRUSAnc1hrnm2lDc3JvpqXZmxlP/J/ivunHw8E+fjHnU+hiN9z9G7kleoiEgKStnAZZrmUmDplClTrkl2LSI93ZvlFVzzQgU7W9LoZWvk973u4eTBMbzFD5M29PsYNnuySxQRSWkpG7hEJPlCu9bz/55/g7s2jcQijSNdK7m78D+MOOJnuAaeoNYOIiKtpMAlIl8SqSlh3X8WMKNkHJ+Ex2IjxpwhJfxk6rdI981KdnkiIl2OApeIAImeWuHtywiUzOPl9X5+VD+D3VYm/dOCPHT6UE6ccHKySxQR6bIUuER6OCseo2XTy/hL5+HfuZLbGy7lcf+pAJwyIoMHzj2OPl5XkqsUEenaFLhEeigr1kKoYjH+0ruI7V7Pxkges3b9nlXhIThtBr85eSQzJg/WOi0RkXagwCXSw8TDTQTXPEKg7D7igR0APB87m5/XTScQtTE8180j543nsIFZSa5URKT7UOAS6SHs4TpytjxC7TuPY4V3A9CSXcwvg7fy9MY0AM6b4GP+1DFkpXeNPxq64pZIItIzdY0/VUXkkMWaNuMvvYfhax7HFg9hAc7+k9kwaA5X/yuDDXVB3E4bfzxtNJdMGqCvEEVEOoACl0g3FakvJ1Ayn9CG58CKYQOa+5zEoMk/ZOHmQfx0aQXhWJBCXwaPThvPmL7eZJcsItJtKXCJdDPh6vfxl8wjvOW1xIDhIH3UBazucwV1zuH89K3tvLxmHQBXHzGQ2787CrdTneJFRDqSApdICrAsi7gFsbhFNG4RsxK/RuMW8f2MxT77sSAat4jEYrTs+A/NFc/SUr+WGHZixmTsg0/CMfhUrLTeLK9q5ImS1dT4I2SnO7jnjDGcVehL9kcXEekRFLhEkuiZsmoWleygJWa1w2xOYPq+QzXA8h3Ajr1D3xyUxV/OG09+L3c7XFNERFpDgUskSf6+tpa/fLJ972vDAIfNwG4YOGyJH9ueXz8/ZreB3QBbpAEjVIM9HsJuxHHY7Ti9A3Bl9Mdud3xpjvpAhBG93fzptNE47bYkfnIRkZ5HgUskCbbtDnHtknIArvhGHvOnjsFmO/DTgfHQLgLlCwiUL8AK1UEm2HMK8BbNIn3keRj2r+4Iv6xyF4DClohIEihwiXSySCzOFc+spD4Y5fCBWZwzwXfAsBVrriKw4l6Cqx/FivoBcPT9Bt5Jc0jLPxXDUIgSEUllClwinew3/9zI+1t2k5eVxi3HD8X2NX2vorvW4i+9i9D6pyEeAcA16CS8xbNxDjhWPbNERLoIBS6RTvRGRR1//Ndm7DaDv5xbyFetlY/s/Bh/yTxaNr0CWGDYSBtxDt6imTj7FHVqzSIi0nYKXCKdZHtjiKufS6zbuu1bwzlmaK+966og0RoivO2f+EvmEtnxbmLQnoa74CI8RTfjyBqWjLIPibbcERHZlwKXSCeIxuJc8Uw5dYEIJ43I5Zbj8v/7ZjxKaMMS/CVzidatAMBwZuEuvArP+Ouxe9QrS0Skq0vZwOXz+aYCU/Pz8w94rEiq+93blby3uYH+mS4ePKcQm83AiobI3raI3E0L2B3cDIDN3Q/PhBm4x12BzZWd5KpFRKS9pGzgMk1zKbB0ypQp1yS7FpG2eGtDPXcu24TNgIXnjqePK4i/5F4CK+6nf3AnAPasYXgmzsRdMB3DkZ7kikVEpL2lbOAS6Q6qm1q48tmVWBb8+Nh+TNo5n9q3F2JFGgEIZRZSP/R6io+8EMOm/QxFRLorBS6RDhKLW1z5bDk1/gjH5tZy+ZaLCMRDADjzjsNbPIf/hIvBMBS2RES6OQUukQ5y+6sfsKwyQB9bA39I+1/s8RbShn4/0UOr3+GJgz73lKKIiHRfClwi7ciyLCI7/sUb7zzD/60+HQP4U597GDz2NLzFs3DkFCS7RBERSQIFLpF2YFlxWja9gr9kHtXV67nJ/CMWNuaMqOSMc/6KPWNgsksUEZEkUuCSLuOzJqGp1FTTioUJrX8af8l8YrsriFsGtzT8ipp4L44dksEvL7kKeys2pRYRke5NgUvkEMQjzQRXP0pgxb3E/dsBsGUM4iHHz3m3qjd9vE7+Mq1YYUtERAAFLpGDEg/VEVj5AIHyBVgtDQDYe43FWzSLjx0n8X+PlgHw0NmFDMhKS2apIiKSQhS4RFoh1rQFf9k9BNc8DrEgAE7fkXiL5+AacjK1gShX3vchcQt+eFw+U0b1TnLFIiKSShS4RL5GtH4V/tL5hNY/C1YMANeQU/AWz8bVfzIA8bjFtc+tYkdTC5OHZHPbt4cns2QREUlBClwi+/Hhp/+gd+X9ZNS+mRgw7KSPnIanaCbO3uP3OXbee5t5Y30duR4nj5w3HofdloSKRUQklSlwiexhWRbhra/jL5lHfvX7iUF7Ou7Rl+CdeCP2rKFfOuf9zQ386s2NADx49jgGZmsfRBER+TIFLunxrHiU0IYlBErnEa1fBUDMkUXD4IsZc+wcbO6++z2vLhDh8mdWEotbzD5mCKcU9OnMskVEpAtR4JIey4oGCK59An/Z3cSbtgBg8wzAM3EGy91nYjkysLn33/PLsiyuX7KKqsYWjhyczS+mjOjM0kVEpItR4JIeJ97SQKD8QQIrH8AK1QJgzx6Jt2gm6aPOx7CnYR1gj8O7/72FV9fV0svt4JHzxuPUui0REfkaClzSY8T82wmsuI/g6kewIs0AOPpOwls0m7Sh38ew2Vs1z4dbd/PzNzYA8OezxjE4p2us20qlDv0iIj2NApd0e9GGCvyldxGqeAriEQBcA7+Fp3g2rrzjMYzWd4PfFUys24rGLW6aPJjTxux/fVdrKQSJiPQMClzSbUV2LsdfOo+WyqWABRikDT8Tb9FsnH2LD3o+y7K44flVbGkIcfjALH79nZHtXrOIiHRPClzSrViWRbjqbQIlcwlvX5YYtLlwF0zHM/FmHDmHHpLu+2ArL6+pJTvdwSPTxuNyaN2WiIi0jgKXdAtWPEbLpqX4S+YSrS0FwHBm4h57BZ4JN2D3DmjT/J9UNXLb6+sBuP/MsQzt5W5zzSIi0nMocEmXZsVaCK57ikDpfGKNiQakNndfPONvwD3uSmxpOW2+RkMwwmVPryASs7j+yEGcPq5fm+cUEZGeRYFLuozlVY3sbA5jN6AgJ45n018JrLyfeKAaAHtmPp6imbgLLsRwtM8dKMuyuPHF1WzaFWJSXia/PWVUu8wrIiI9iwKXpLx43OKnr6/n7n8nmpPetefXXNtgRjhupCDDz9gRhYwffSRjfFkMtKe127UXfLiNF1fVkJVm59Fp40nTui0RETkEClyS0lqica5dUs5zK3fiMOKc7P4PWyN92RgdSH08m/pwNh/VA/XARysAyHDZKejjYXRf7+d+PAzv5T6ojaXX1wb48d8rALjnjLEMz/V0wCcUEZGeQIFLUtauYIQLHnuf96oiZBgB7uv9e45JX0Fa/qm4i2ZR4y5ibY2fNTV+1tYEWFvjZ22tn1p/hOXbm1i+vWmf+Zx2gxG5Hkb3TYSxMXvC2KjeHjyufZueBsIxbn+7knDM4uojBnL2eF9nfnQREelmFLgk5ViWRWXFu5z7XDXrgrn4bHUs7HsHA4ZMonLoHzhqwpEADAIGZadz0sje+5xfF4gkwtfenwBra/1saQixZk9Ag5q9xxsGDMlO3+du2KJPd7CjqYWJ/TO447tatyUiIm2jwCUpw7LitGx+lU/+/QSXrjsTM96bUc5tLDq6koIjX+S9moxWzdPb4+To/ByOzt/3CUV/OEZFbSKArdlzN2zNTj8b64NsbgixuSHE6xV1e493O2w8dv4E0p2t2/JHRETkq3Ro4PL5fNnAG8A44CjTNFd25PWka7JiYUIbnsVfMp9/VTu5oe5Wmi0vR/VuZPGl36N3rz1tGGq+fkPpA/G67BTnZVGcl7XPeCQWZ0N9cJ87YivNJs4d72Nkb63bEhGRtuvoO1wB4DTgzg6+jnRBVsRPcM1j+MvuJe7fxkuBY7m1/mYiODh7XC4LzjmxU+4uOe02xuxZ0/WZZZVtC3ciIiKf16GByzTNCFDj82nBcXf1WTA5mE2Y46F6AuULCKx8AKtlF5YFD0Wv5o767wFw0+TB/O6UUdhsrd9UWkREJJW1KnD5fL6bgMuBCcCTpmle/rn3coGHgZOBWuDHpmkuavdKpcuLNW8jUHYPgTWPQTQAgK3vEfw29EMeWu3AMOD2U0Zx09FDklypiIhI+2rtHa7twG+AU4AvtvC+FwgDPqAYeMXn85WaplneblVKlxbdtQZ/6XxCFc+AFQXANXgKtsJZXP9eNktX1+CyGzx4TiHnqP2CiIh0Q60KXKZpLgHw+XyHk3ganz2vvcA5wHjTNJuBd30+30vAJcCP2r9c6UrC5kcESubSsvlviQHDRvqIc/EUzaTRM5Zpi0p5f0sNOekOnpw+keMO4mtJERGRrqSta7gKgKhpmus+N1YKnPDZC5/P9zcSd75G+3y+B0zTfKSN15QUZlkW4W1v4i+ZS2THe4lBexru0RfjmXgzjqyhbN4V5MyHPqaiNsCg7DSWXFLMuH6ta/kgIiLSFbU1cGUAjV8Y2w1kfvbCNM1TD3ZSn893LXAtQF5eXlvqk05ixaOENr5AoHQe0bpE9w/DmYW78Go846/H7km0dijd0cTZj5dgNocZ78tgySVF5GWlJ7N0ERGRDtfWwNUMZH1hLAto2s+xrWaa5gJgAcCUKVOstswlHcuIhcje/ix1HzxErGkzADa3D8+EGbjHXY7Nlb332H9U1HHx4hU0h2OcOLwXT1wwkex09d4VEZHur61/260DHD6fb5RpmhV7xooALZjv5uItDQRXLWR46b04wnXEAHvWcDxFM3GPugDDse9dqyc+3cGNL64mGrc4f2J/7j9zLC5H6zeSFhER6cpa2xbCsedYO2D3+XzpJNZu+X0+3xLg1z6f72oSa7XOAI7uqIIluWKBagIr7ie4aiFWpAkHEMosxHfk/5A2dCqGbd9GpZZlceeyTfz6zY0A/ODYfH45ZYR6bImISI/S2jtctwG/+Nzri4FfAb8EZgALgZ1AHXCDWkJ0P9HdGwmU3kVw3SKIhwFw5R3Phv5XE8g9lvzhuV8+JxbnB6+sY+HHVRgG/OHUAq47cnBnly4iIpJ0rW0L8UsS4Wp/79UDZ7ZfSQk+n28qMDU/P7+9p5aDEKkpwV86j5bKl8CKAwZpQ6fiLZ6Ds99hBL5iCxx/OMYVz6zkb2trSXfYWHhuIaeP69e5xYuIiKSIlF2xbJrmUmDplClTrkl2LV3RoWy58xnLsohsX4a/ZB7hqrcSgzYn6QUX4S2aiSNn1NeeX+MPM+2JUj7a1kiu28HTFxVx1JCcg65DRESku0jZwCWdz7LitGx6GX/JPKI1ywEwnBm4x16OZ8IM7N4Dt+jYWB/grMdK2FAfJD8nnecvLaagj/eA54mIiHRnClyCFWshVPE0/tK7iO1OPGz6/9u78zC76vqO4+87d+6syYRMJvySSSAbJBCWDCbWUmWRWMAi2JI+ik9AlrYoPijQxz4uRVQsbW37NICAisUUl6osqY9Lm9aaqqAoBMkKGMm+MCcZMlnmzkxmO/3jDCFQIRPImXOT+349zzwz+d17f/O9+c2953N/55zfydWMoe7UD1I388+pqBnaLNmTW/cw7xvLaCv2Mmv8SBZdPoswsjrN0iVJOiIYuMrYQM9eup69n86V9zBQ3AZAxYjjqJ/1EWpnzCdXWTfkvhb/po33P7CSzt4B3nFCI19/72mMrPbPS5IkMHCVpYGuNjpXfYnO1V8h7tkNQOXomdS13EjNtD8hV1E4pP4Wr2nj7sc20z8Qc/kZ4/nCJSdRyLvGliRJLyrZwOVZiodf/96NFFfcRdez34D+LgAK486kvuVGqo47n1zu0NbGWrZtDwse3ciPfvsCAB87ZzI3nzf1kPuRJOloV7KBy7MUD5/enavpXHYH3WsfhrgfgKrjL0yC1rjfP6S+9u7r48GVEQuXbuWpbckVnCpycPvFJ3HNnAmHvXZJko4GJRu49MbVtj9B+2/uo2fTfyUNuTw1J76X+lk3UNk4c8j9xHHMU9v28tWlW3lwZUSxJwlto2srOWdKI++c0cT8M8an8RQkSToqGLiOMnEc07P5vznuiX+kbtdSegDytdSedAX1p19PfuTxQ+5rT3cfD6xsZeHSbSx//qXrkb910jFcM2cC7545lse37Dn8T+JVvJ41xSRJKgUGrqNEPNBL99pFdC67g772p6kD+itH0XD6B6g75VoqapuG1k8c8+TWPSxcuo0HV7bS2TsAQGNtJfPPaOaq2c3MGOu6WpIkHQoD1xEu7uuk69lvUFzxBQY6NgNQUd9M64Sr2TXhfZx14sQh9bO7u48HVrSycOlWVrR27G8/a/IxXD1nApecPJaaQv41epAkSa/GwHWEGuhup/Ppr9C56svE3clZgvlRJ1LfcgM1J7yHZzYVD9pHHMcs3bKHhU9u5aGV0UuzWXUFLm8Zz1Vzmst2lXh3X0qSDqeSDVwuC/G79XdspXPlPXQ986/EfUmoqhw7m/qWG6mefBG53IvrX7164NrV1ct3ViTHZq2KXprNOnvKaK6e08wlJx9LdaXraEmSdLiUbOByWYiX69u1huLyO+n+7XdgoBeAqolzqW+5gcL4sw669lUcxzy+OZnNenhVRNfgbNaYugJXnDGeK2dP4MSmoa8sL0mShq5kA9fR6Gfr24FD213Vu/1JistuZ9+GHwAx5CqonnppErSaZh308e1dvXx7eXJs1tPbX5r1OnfqaK6eM4F3nTTW2SxJklJm4CpBcRzTs/V/KS5bQO+2R5LGiipqZ8yn7vQPUzlq6kEfvzrqYPFv2vj5xl109yWzWWPrC1xxRjNXzm5m2hhnsyRJGi5lH7hez6xTWuKBfvat/x7FZQvoe2EFALlCA7Uzr6HutA+Srxt30D4e3dDOZ/9nLY9t2r2/7bxpjVw9p5mLZoylytksSZKGXdkHrlIQ93XTteZbdK64k/496wGoqD2WutOuo3bmNVRUjTpoH0u37ObWH69jydqdAIysznPh9CY+NXcqUxudzZIkKUsGrgwN9Oym6+mFdK68h4Gu7QDkR06mbtYN1E5/H7nKmoP2sap1L59bso4fPtsGQEN1ng//wfGc0dxAXVXesCVJUgkwcGWgvzOic9WX6Fp9H3FvcmmcyjGnUd9yE9VTLiFXcfBhWdNW5LYl63h4VRLUagsVXPeW47jhbZMYU1fYv6tUkiRlr2QD19G4DlehcyONG79C25KHoH9f0jb+bdS33ETVxPMOurQDwMb2Lv7+J+v55rLnGYihKp/jIUkwgQAACZtJREFUz948gY+eNZkwsjrtpyBJkl6Hkg1cR9M6XL1tyykuu4Mp675LjuSMwerJF1E360aqwpuH1Mfze/bx+Z+u5/5fb6O3PyZfkeOqN43n4+dOYeKog+96lCRJ2SnZwHWki+OY3ucfpbjsdnq2/DhpzFWye/ylTH3rX1E5esaQ+tlR7GHBIxu59/EtdPcNkMvBZbPG8Ylzp7i0gyRJRwgD12EWxwPs2/gfdC67nd7tSwHIVdZTe/KVrDxmPn01zUwfffAlKHZ19XLnLzZxz2Ob6ejpB+DdM8fy1+dNZeaxI1J9DpIk6fAycB0mcX8P3c89QHH5nfTvWgNArrqRulM/QN0pf0FFTSN9QziQvWNfH1/85Rbu+PlGdnX3AXDBiWP41NyptDQ3pPocJElSOgxcb9BAbwddz9yfLO1Q3ApAxYiJ1J9+PbUzriBXqB9SP929/fzLE1v5p0c20FZMrpV41uRjuGXuNM6cdExq9UuSpPQZuF6nge4X6Fz1ZTpX30u8bxcA+dEnUz/rBmpOmEeuojCkfnr6BvjaU9v4h59uYNue5MzFN09s4Ja503j7tMbU6pckScPHwHWI+vduorjybrqe+Rr0dwFQCL+XLO1w/AXkckO7dE7/QMy3l7fydz9Zx4b2bgBOGzeCW+ZO48LpY4a0RIQkSToyGLiGqG/n0xSX30H3cw9DnBxbVXXc+dS33Ehh3JlDDkgDcczDqyJuW7KONW2dAExvquPm86byxzOPpaLCoCVJ0tGmZANXqSx82tP6K4rLFtCzaXHSkMtTc8J7qJv1EQpjTn3Nx8ZxzK7uPtqKvewo9rBk7QssWrWddTuTmbHJo2v45Nun8t7Tx5E3aEmSdNQq2cCV5cKncRzTs/lHFJctoLf1saQxX0PN9CvonfFBtleMp62jhx3Rdto6e2kr9rCj2LM/WLUVe2nrTL73DcT/r//mhmo+ds5k3v+mZgr5oe2ClCRJR66SDVzDpWNfH7u6+3hs4y62d3TTuvFxnl//GDuK+9jZ/xZ28k7aC5PZOTCKF5b00/ujDcCGIfc/sjrP2PoqmuoK5HI5Zo0fyd9ecAI1hXxaT2lYnT3l4GuKSZJU7so+cF276On9610l6oF3vPxOXQDJfUZW52mqq2JsfYGm+iqa6guDgeqAnwe/j6krvCxYvXhB6aMlbEmSpKEp68AV93UxodDOyL5uxlS001ixh6aamNB8EuMnns7YEbU01R8Qrl4RoCRJkoairAMXuTwPh09S6N5GZVML9S03UT35XeQqDFWSJOnwKevAlctXsX3GpxnI1zN79kWufSVJklJR1oELoOPY8wEMW5IkKTWuSSBJkpQyA5ckSVLKDFySJEkpM3BJkiSlrGQPmi+VaylKkiS9USU7wxVF0fejKLq2oaEh61KOSGdPGe1ldyRJKhElG7gkSZKOFgYuSZKklBm4JEmSUmbgkiRJSpmBS5IkKWUGLkmSpJQZuCRJklJm4JIkSUqZgUuSJCllBi5JkqSUGbgkSZJSZuCSJElKmYFLkiQpZZVZF/BqQggXAxdPmjQp61IOm7OnjM66BEmSlIGSneGKouj7URRd29DQkHUpkiRJb0jJBi5JkqSjRcnuUhwu7uaTJElpc4ZLkiQpZQYuSZKklBm4JEmSUmbgkiRJSpmBS5IkKWUGLkmSpJQZuCRJklJm4JIkSUqZgUuSJCllBi5JkqSUGbgkSZJSZuCSJElKmYFLkiQpZQYuSZKklOXiOM66htcUQtgBbEz51zQBbSn/Dh06x6X0OCalxzEpTY5L6RmuMZkURdHYVzaWfOAaDiGEpVEUzcm6Dr2c41J6HJPS45iUJsel9GQ9Ju5SlCRJSpmBS5IkKWUGrsS9WReg38lxKT2OSelxTEqT41J6Mh0Tj+GSJElKmTNckiRJKTNwSZIkpczAJUmSlDIDlyRJUsoMXJIkSSkzcEmSJKWsMusCshRCaATuA84nub7SJ6Io+rdsqypvIYRq4B7gHUAjsJZkXP4z08IEQAjhRGAl8FAURZdnXY8ghHAZ8GngeKAVuCqKokeyrap8hRAmk7yHnQnsAx4CboyiqC/LuspJCOF64CrgNOBbURRddcBtc4G7SV4vvyJ5vaR9vWbAGa67gR4gAPOBL4YQTsm2pLJXCWwGzgFGATcDDwy+iSl7dwNPZF2EEiGEPwQ+D1wNjATOBtZlWpTuAbYD44EWkveyD2VaUfnZBvwN8NUDG0MITcAi4FMkH+iXAt8ZrqLKdoYrhFAPzANOjaKoA3g0hPA94Arg45kWV8aiKCoCnzmg6QchhPXAbGBDFjUpMTiTsgv4BXBCxuUo8Vng1iiKfjn4761ZFiMApgB3RVHUDbSGEBYDfpAfRlEULQIIIcwBJh5w06XA6iiKHhy8/TNAWwjhpCiKnk27rnKe4ZoO9EVRtOaAtuX4wigpIYRAMlars66lnIUQGoBbgb/MuhYlQgh5YA4wNoTwXAhhSwjhrhBCbda1lbnbgctCCHUhhAnAO4HFGdekxCkk23lg/wf8tQzTdr+cA9cIYM8r2naTTMurBIQQCsA3gfuH49OHXtPngPuiKNqSdSHaLwAF4E+Bs0h2X51Bshte2fkZyQZ8D7CFZLfVdzOtSC8aQbKdP9CwbffLOXB1AA2vaGsA9mZQi14hhFABfJ3kGLvrMy6nrIUQWkhOYliQdS16ma7B71+Iouj5KIragH8G/ijDmsra4PvWYpLjhOqBJmA0yXF2yl6m2/1yDlxrgMrBs65eNAt3XWUuhJAjOXs0APOiKOrNuKRydy4wGdgUQmgFPgrMCyH8Osuiyl0URe0kMyjxAc3xq9xdw6OR5Oy3u6Io2hdF0QvAQgzBpWI1yXYe2H8s9zSGabtftoFrcN/tIuDWEEJ9COGtwLtJZlWUrS8CJwMXR1HUdbA7K3X3krwptQx+fQn4IXBBlkUJSDbmHw4hHBtCGA3cBPwg45rK1uAs43rguhBCZQjhGOBKYEW2lZWXwf/7GiAP5EMINSGESuDfgVNDCPMGb78FWDFch6yUbeAa9CGgluQU3m8B10VR5AxXhkIIk4APkGzYW0MIHYNf8zMurWxFUdQZRVHri18k0/LdURTtyLo28TmSZTrWAM8ATwG3ZVqRLgUuBHYAzwG9JEFYw+dmkl3uHwcuH/z55sH3rHkkr5F24C3AZcNVVC6OnYGWJElKU7nPcEmSJKXOwCVJkpQyA5ckSVLKDFySJEkpM3BJkiSlzMAlSZKUMgOXJElSygxckiRJKTNwSZIkpez/AAr3taI77vbtAAAAAElFTkSuQmCC\n", + "image/png": 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\n", 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" ] @@ -156,7 +156,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "100%|██████████| 1000/1000 [01:29<00:00, 11.21it/s]\n" + "100%|██████████| 1000/1000 [01:29<00:00, 11.16it/s]\n" ] } ], @@ -202,13 +202,39 @@ "source": [ "Above is a [corner](https://corner.readthedocs.io/) plot, showing the posterior distribution for each variables and a correlation plot showing the correlation between them. \n", "\n", - "Each variable is stored in a list in the `variables` object. " + "We can also print the median or mode of each variable with (these should be slightly different, as the distributions are not normal), " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[4.46522622 0.46464549]\n", + "[4.56938421 0.45901488]\n" + ] + } + ], + "source": [ + "print(modeller.variable_medians)\n", + "print(modeller.variable_modes)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Each variable is stored in a list in the `variables` object. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, "outputs": [ { "name": "stdout", @@ -231,7 +257,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -240,7 +266,7 @@ "(False, 4.465226223112712, array([3.40517564, 5.06201216]))" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -261,12 +287,12 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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dEGNLXt5AqQpsTE31ZgjZMDXOG4u2I7L+HnowJfYn5GaIsum0ozYFqthB9fcwJtv0rX1bEriEEEKIR1wMLi2VfnPQ0ja91h6mNThKEXSOQsFx0JoTo0PbDB3zLmjlqOBQ7YoQ6hS0li/j17PuJGHZVbRIJwmLIZgR2D4EB/VNCGtUXKWB9HrcjXdQ6cShHWN7OzA8h813MVmByoapT8z2Ub0z6GIbrfWmb+09k8AlhBBCPKJS0KrScunQvrGi5Wti3QUtSLOsYkS7EuUXuDnE2KBMhiEDckJWdEFrTQg1rjyiXb6EX19P1Sy3SicKMSlo5QPIJ+nXvoHyetfD5UCBV8MUsrIeyvTQ2Qg7OAv9s2S9HZTJMdkwVbSyMfT2sMVkk7f0HZPAJYQQQjxi0mLpKlW1QgtKdUErI4bqW4JWBHBLYrPElK+A8qC2MTpLFS2To6JHtUtCaGhXB7SrlwnLGxDX0Cy6QaRZqmJlA8jGYPrpvWYOzTqt6NE5ZCNQGmVbgh2QDc9jenvQ38PmW+hsgLa9FLSKbVTv7Knuz7oXEriEEEKIR8TdQYvgusXSBeiMGGpic5SqSwCmIEbArYjNAl8f4dqG//6rBV+8Zfmxy4r/4vsGZDhUsyTElna9T7t6hbC8mZrcmyWEBtDpNGHeSz9Hk8LV+pU0FZ7YzdnaSicOtUGZIT4UhPwcZu8xrB2i8zHaFmjTe6j6s+6FBC4hhBDiIZeCVt0FrbYLWjlKZ92jw/03BS0FzZLQph6t9Gcsf/+LOf/sGtRecW0BKi751J9padb7uPI1wuL1VMlqFukRoTKpWmUHkG+nnq2whvYQmhpw6cSh6aVhpcaisyEm30YNztIc5sR8SDG8gDI5Orvdn7XzUPVn3QsJXEIIIcRDKi2Wrgnt+q6glUYlxODeOmi1K0JzdFfQMhidE5XmX7weqX0EoPTwuy+3/Pyl3yesDsCvoV6Cr9NjwWKUqlnZEFDg5l0PVwV40APIR92Jwx46H2DzHdT4LDrbwRYjQutBF9j+HvTPPrT9WfdCApcQQgjxkElBqyG4dbfvMN6paAUPzSHRN+mLdU5E3xW0FuArgjJYnRHRBFsQQ8MPnXd85aamDoqe9nz/6EXC/BWoD9NCaZVBfwJmDNkEcN36nWVaLI1KfVsm6/Yd9tD5BNvbQw32MPkWphhjshHK5MQe+GwPu31xk7fzXSGBSwghhHhIvDFotXcWS6uMGN8qaClwJaE57IJWSVAao3OMMnhlITpUOyd6zy+8f8b+jcC/mm/x8Z3X+IXpv4R191iwPwQ7BjNITfX1PvgV+BYI6bGitqANZANsMUHlO+j+WbJiG12M0HaQ+rN6O6j+GfxiudH7+W46tYFrOp1+AvjE5cuXN30pQgghxGbFiIoNoT7qKlpd0NI9Ygjg5kRXpy/VWeqtatcpaDVpd2EKWgVGaYLKiLFBhxXeOdx6RnN0DdySnzuzj909Yq+fpQXS/VF34nAIroH6VgpaoQVUF7TyNBE+66OzMbo4gx7tkhc7qGyCznrobIjq7aLyHYwxm72fG3BqA9dsNvs88Pnnnnvupzd9LUIIIcQmpMXSDao9QsWG6Cd3glYM0C6IrkpfbPLUo+UrQn1I6EY1BDRGZxhluqBVoUNNaFvq9es081egPkqT4dsFNA1eF2l+Vr4NtoC2huY6+ApCnQKdGaVqli1QZoDtbafKVb5LPthCZVvorMBkY+in/YZKqc3e0A06tYFLCCGEeK+6HbSCq8DXqFCnU362n95rl+lEIqSghUoDTutDQrMCvyKgMCq7U9EKNTpUBOeoVi/TLl5JTfCum5MFoPqQD/HFEHo7EFZQzdKJw+jSNeTjVPnSBp2NMcU2erCNys9heyNMvoWyBabYSvOz8sHmbuQpIoFLCCGEOCVS0OoWS/u6WyxtibqA7oThcdDSGVFlxGZJbI9S0HIrQowYk2OUwmOJocKENd5HmtXLtPOX0mys5iiNd0Clx4VFD7ItWt9g2hrK11JFi5BOGmbjVNmy6fGg6e2gezvo/i622EFnI4wdpCpXbxdji7f9fh/UMu6HgQQuIYQQ4hSIvnlT0DKge8So0L4EXxHdJO0/JCO2K2I7IzRrcEtCiBibY5TGR0OMJcavaNpAu36NdnEt7Tesj9Kjw6ghH4LtpUeHGHAL8uaAGBtwaco8WRqcii3SYNJsCzPYwRRnsIMdtB2is1EKWsXue7I/615I4BJCCCE2KN6uaLnqrqCVZmZFV+HaFb/2xVt86brn376q+NT3DTH+RvfocEnwXdAyGhcVhBoTHHXjaVYv4ZYvp7EN9VGqbEUNvTHYYRrvoDS0t9JYB9egQ4U3t3cgdjO0ijE638IMzpIVe+jeBG2HmGICvb30+PA93J91LyRwCSGEEBsQQ5v6rlxFjA6l9PFpv+jKNGg0Rv7r//OIz329pvZw7fdvQXPAL310RQhgTIaxBhcjuBJDoKxr4vIVfPlqWr3THIArAZumwudjsCPSDK3DNDneNaAAO8DbAcEaKMbYYgtVbKN722SDM+hsG50PMLf3G0p/1j2TwCWEEEK8Q8+/cAB8Z71IMbi0VPoNQasAVNp36I4ghjTTymQ8f+016m7PdOnh+Zcdv/RRi7EWFzz4NYbYBa1r+HIG1QpcV7UiS0NK81E3Qyt0g0zrFMS0Ta9nPTAZwWl8PiabXED3d7ugNcFkQ3R/F9Xbu6f+LPFGEriEEEKId0EKWlVaLh3atwha6ztBS+cEVxPLm3zsQsMf3ojUQdE3kWcvKjwB2iUGqJqKavEioXo9Ba22q2ip1ARPb5JOFfoWqltpfpavUl9WMTyeDK/tGJUPaeKAmG3RO/MkOpukvq3+LqrYwRiJDe+U3DkhhBDiBKXF0lWqaoUWlEpBS+m0WNqvIfguaBUEVxGbm8R2SWyX/I0POW7MDf/qVs6PXor8Zx9ZYbyiatZUi5cI1Q2o5mnye6iBAeQ7KWjpHrga/H56bBhcOnGYT8AUqRHejtDFFmawhe1N8SYjmgH55BL0zkh/1gMigUsIIYQ4AXcHLYIjKkDlaGPw7q6gpQzR9IhtRWxT0ArNkuhbtM7J8x4/+YFDfsrv8+HzE6qmZDW/RihvpPlZ9QGEChinx4bFJFWvXAX16xAi3D51WIzB5JD1UuO7GWCKPezwHGawh86GhNrg813s9uObvoWPFAlcQgghHinvpK/qQYoxdM3wJYS2C1oZSmuCb/D1IlWajoNWTaxef0PQQlm07eF8i2qWaJ+GoC6vv0isU+M89WH3OcMUtPKdVD3zZXo/RvDdsFKzBf0M9ABVjDDZGDPYww7PY/JtTD5G9/dQvTP41Woj9+1RJ4FLCCGEeADSYuma0K7vCloWpTUx+LTTMLRpeKjupR6t20GrXRHbFrRBmQIfGmK7RgVL01TY+R9j6n1iv4LyKFWs7AjyLehtQVBp9ENoUjM8EVTXLJ8VYPqobIDJdzGjPexgmoJWsYUe7HX7DW9HAglcJ0EClxBCCHE/uopWcOtusXQ8rmjF4AntEnyTKlrkRN+AOyA08xS0XJOqUDoj+BrllxAsTbMkzK8R6kPyxWtoP4doIeuD2UmPDiNQdZ8fKtAKyLoTiTlk/VTNKrZQ/TNkowtpHU9/G90/h84naK03fQffEyRwCSGEEO9AjBHla/BrQu2IhFTRUoYYfWp6Dw3QBa3QQntAaBZd0KoAnYJWW6NiSSDDN0vC/JuE+gCqI6gOoPE404P+DtgxaN+Ndmi7x4oxjXVQAyh6KDvAZCNMf4LunSUbX0RlY2x/D9U/i8mGm7597zkSuIQQQojvwPFi6XaNckcQI1GNUcoCkehWxFADmhhzYrw7aC2JLr2HtoS2QbklPmpCu8YfvZB6tMqDtOdQAfmAEHO8GoK14PahDUADKMiGYPtgC7BDbDHEFDuYwQXs8Awm30L3z6B6ZzCZzM/aFAlcQgghxD04DlquBFenilbURG1QCqIviT5VrY6DVnOT0HYVrfZ2b5Um+BbV1ng0vp4TFteI1WGak9Wu0jyufAi9nTR9vl6TNYdQWlANeJNmaGWDFLSyPjabYPp7KWgN9jD5Dnp4tpuflW369r3nSeASQggh/hQpaLVvWCyNMqAyIhHlK0ITAZWCVmigfXPQAhQE36C8wwOuOiAuXyLWB13QWkMgBa3BNpCnAabtLbSvUdTg+2m0Q6/opsMPsfkQMzyLHT2WKlu93dSfVWxJf9YpIoFLCCGEeAvfPmhZFBB9jfYrUtAadY8O9wnNguhWhLZKnwHEUKeg5QNtc0BcvpJ6sJr9tO8wZmmZ9GgrTYWv18AiVbpcCxFctgNbE1A9lOljelvY/jnM5DFMsY3tn0EPz2Gy0SZvm/g2JHAJIYQQbxJ9Q/AVuIoYPUobIAWt4BtirCFCVAZcS2xuEZo50S3vClqKGFYoH3HO4+oD4vK1tOOwPoB6AZhuRtaEVNFaQLsAHSD6dCox38NHiDpHFbvk/V10cQ47fgxd7GAGZ9D9c9KfdcpJ4BJCCCE6MbTHQ0uPg5ayqTE+tKkZPkZiNEBA14cov8Sv6YKWJwYFsULFgGtdenS4fjVVtMqbEMouSO2mFTsR8Mv0IzrAd6t/diC3YHtEZQlmm97ek2Tjx9D5LmY0Rff20Fr+Uf4wOLX/Lk2n008An7h8+fKmL0UIIcQj7k7QqojRpcXSyqQqVmhTX1b0RGyau9Uc4JsjTHMd5Ut8PUiDT0ODItC2Fa46Ilavwno/nTr0NWCh2IF8O1Ww2kUKXLFO/Vu2B3YbrAFbYPMJpr9LbceE3pTeuSvogfRnPYxObeCazWafBz7/3HPP/fSmr0UIIcSjKQZ3V0XrTUGLkE4ddkErRgXNAb5Jj/2apuJXv2L4g4M9nrvY8jc+fEQMJb45JK5eS9Ws9WEKU8qmE4fZVpoG7w5JzwnbtILH9mEwSdPhTR9bjDDDKaZ/ATs8i7vVx+d75HtPbPqWiXfo1AYuIYQQ4qTE4Ii+TkErtG8KWj5Ng48uBa2gwB3i6yNol4SmIoaWv//FPv/LS33qoHlhleOaOf/5pT9KQas8SBUsbaA4k04e+hbcwZ2g5RX0JlD0U6O8LrC9MXZ4ET28QNY/ixldQPfP4JvqXbs3m9pB+aiTwCWEEOI9IwZP9LcXS7u07xB9V9BqAZd6tKImNof4JgWttL6nO60YPF94fUQd0mO9ymv+5czC6OvpVGFeQLaTHhG6GpojCDH1aHmVJsYPCzAFmB55bxfdP4OZXML2zmHGFzD9M3f1Z717gUucDAlcQgghHnkpaNVd0OoWS6NS35SOBNeQgpaGqAjNIaE+gtunDn1NjA3EiGsaoOH7tgJ/dHiROlp6quUH+/9v+szRudT07tfQzCGEtGw6ZFBswXAAJkflfbJiD9M/j91+HN2bYkfn0cWO9Gc9giRwCSGEeGQ4H/j133uFL72+4MefOcun/80nMbF5U9DSqdqkQurbci71Z6EI9QGhWUK7OA5aIdQooKlLNA3t+haUM/763g2qo+/h/1lf5tnJK/zC5a+DmYJfpSoXDkILpgd2CjYHnWF7E8xwG9N7DDt5DDOcoocX0XYoQesRJoFLCCHEI+Pv/vY3+Od/dJ3aR148eAlcyd969uxdFa0IyqegFVLQikCoDvDtEtXOCW1FcFVqmFeatlmjQ40vD/DlDKobUK+xwfGz577Af6T+kHPjLDXHtxHwqV/LDKHYhSwHk2OLLczgDGZ0gWz4GGZ0ET2YYrL+Zm+aeFdI4BJCCPHI+N1v3KL2abp76QK/8805n3n23F1BK6BCeydo1Yf4Zo5qF4R6TQxVaphXirat0K7C1wf48nVY30x7DoNLU+HzM7RVg3UlOAfap5+LEQymgIasG+0wmGJGj5ENL2LGj2MGZ9Gy3/A9RQKXEEKIh16MEXzNs0/0+fLrC2oPfav4+OURENIQ07cKWvUR0VV4X6Y+LTSuLdGuxFc38evrsL6eZmh5B/k4/SBAXJO3DaiQ+rSyCQzGgAbbIyt2MMMLmPFj2PElzPAxTG8brc1mb5bYCAlcQgghHlpp32FDaNfgG37pY3u8erTmD2Y1f/79Ez71sb20BzFEooJQH6VTh80RsV3jfd0NOzVth1AAACAASURBVNU4X6KaNb7ex69vwmqWHhM6nxZGF+PU/E4FPoB2YAK1GsFkB6ICOyIfnsH0z2NGj2Enl9DDi5h8LP1Z73ESuIQQQpy45184AB7cjKfjoOVK8E0a1QBYpfjkd0/4JJHvf3xICC2BiG/mhGZJrG9BuyaEpgtaCufW0K7x5T6UN2B1oxvf0KZThcWA1Je1TpUs5dJqHj3BmxydGbAT8uEeZnABM7mMHT+BHV2U/ixxTAKXEEKIh0YKWm0XtLqZWKTHhIrY/dwSQ8R7R2iXaal0fQjtKi2ebteEqPBuTWwXhPIQyutQ7gO3V+xsQZGlx4W+AkLq3cJA73wakmotngzfO8tg+hR2+zJ29GTqz7L5Bu+SOI0kcAkhhHgoRN+8KWilAKYI3T7C1BSPb9FtiVsviNWtNB3eOaJb0foAvia0c2J1AOvXoJpDrCBqMFtpYTRNClqRNBVe9aA4n3YcGovtbWOGU+rlFn74OL0nvxvT2z2xRdIy/f3hJ4FLCCHEqRZvV7Rc9aaglepZhNQUH4InuhWqnGHbA+JCEdqW6Fc0PqJCSWgWxPUtqGZQz1MzvDKgJ2CzVMUKaRwEoQE7gOJsWtFjM7LeGfTgHHb8BNnkMvWtMWQTssHeZm+SOPUkcAkhhDiVYmjvWiztIcbjR4eg0u9DSwipv8rVh8Ryn6y8DtHhS2hCQPmKUM2h6Spa9VEKVtqmipZREDz4BhRADWYP+mfTe6Yg659BDy9gJ5fItq5gRpew+RBWB5u9SeKhIYFLCCHEqRKDSyHLVcToUrCKEXV7eGmMxOAIoQVfHgct2iW+dej2CO9a2oEllAdQ3UqjHdpuzY6xYLdTuIptt97HgweybcgugAlgRuSjc5j+BczWJezWVbLRBbQtNnp/xMNJApcQQohTIQWt2xUt170WUkVLaYjhrqC1xtULYnkd2hW+deBXNKEi1gusP8LfKqGcQbtIQctmoIagFdCSllY3gE1N8r0RGFLQGk8x/YvY7Scx21fJhmdPrD9LvDfIf3qEEEJsVAzueLF0DG06axi6Hi2lIKoUtHwDfk27PoLmBjRrvGvBrWl8RWwrYnNEsXoF3dyA3KdhpVmP9I+7NG2eqCHUoDPIzkDWB2tRxQ7Z4Ax2+Bhm9ymyyVOYniySFg+GBC4hhBAbEYMn+qpbLO0IBPABpSJRaSKKGALB1+BL2qob39Cs8cFBu6T2NbQlsT6C9T6UM8xqmWZo9SZAkUKbgdRg34LpQ34hnTjMMnTvDHYwJZs8gdm6Qrb9FCYbotIzTCEeCAlcQggh3lUpaNVd0Gq7oNUtfdbmOGjFu4PW+gaxWeC9B7+kadZE10B7COtZmqHla/CeqAxBFWk46e3PVg7MAIodyHPQGXZwHjM6h508id36ANnkEibrbfr2iEeUBC4hhBDvjhgI7fqNQSvENNVdGVC2C1rVG4JWqI/Sah6/oGnK9OebeQpa9T64Oq3asT2wFoLH6AjRg2pTg3y+BTaAHpKNzmKGj2HHT2B2P0g+uiCLpMWJk8AlhBDiRMUYUL4GvyY2LSH6NFAUD2jQGTEGYrOEUNNWB7C6QWiOiAGCW9BWa2IoU0Vr9TrUh9DU6XGhzsBGIEJUKB+JKoDtQ34uDTI1Q/LRRXT/PNneVczW02SDPVkkLd41EriEEEKciDT1vSG4NcodQfCEUJCClkoVrRihWRJDTVvegtV1QrsghohrF7hqCW8IWkfg2jSIVBkwGghgMvAerKZVY8gKGI4g3yEfnsOOHsNsfYBs92lsb0v6s8S7TgKXEEKIByrGmNbnuDX4lhAdyrekgVcBpTNCCNAsCb7CVYfE9YxYHxFjoG3m+HaZglW1nx4dNkepF8sAt08NantnIjwq9WeZQXpEme2Q7z1JNnoCs/s0+c77ZZG02CgJXEII8R72/AtpUvqD2NWXFks3hHadKlvRQwwQXXqCqHOiMsR6iXdrfN0FrWZODJ62nuPbRRrlUO3D8jq4o9SfdRy0FGBAk6bD6wyyaZqxlVnMcIpbT/CDS/Se/F7y7ScxskhanAISuIQQQtyX46DlyhS0gjsOWmiDJ+cff2nJl2YVP/a+ff7mRxt0fYPYHBHD7YrWHNoqnTZc3gC/SsHLGFABgoEY0+9DC3YI+QiyDGwfMziPHU+xW0+xXlwk9i/QP3N207dGiGMSuIQQQrwjKWh1i6V9fSdohQa0RZmCEOCXf+dlPvf1FbWHb84dcX3I3/zgLZxb4JtDcBWUB7B8FcIanAIdu8Z6BdGk6pYGdA+KIfRy0COy4RQzuoidPIU582GK4VniNw83fGeE+FYSuIQQQnzHom/eFLR8txDagOkRoyI2K3xzxPPfnFP79Ocqr3j+9Yyfv3QNmjIFrerVtDjax+5RYUj9WVanx4bGpmGldpyClpmkoDW8RLZ3Fbv7XeT97Y3eDyHejgQuIYQQ9yzermi56q6g5VMFyhTEqNIS6fqQ2Cxx6xn/xq7lK/tb1EHT054fGL8Khy9Cdb0bVhrSnw8OsJClvYmYHMwIigHkBeTbZMPzZOMnsLsfJNt9BrvhRvgH0fsm3hskcAkhhHhbMbTHi6VDcCkcRd9VtPIUtJolvjkkNgvc+iY0c7yr+E+emnN4uMvvz3f4+PaL/MLW/w7L6k4zvI+pFz4r0kFGY0FNIMsh66OHZ7CDC2RbT2B2P0S+/RRGBpWKh8yJBq7pdPq9wH9LWsv+CvDvz2az9iT/TiGEEA9ODC4tlXYVIbQpaAWXQpEuAENo5oTmoAta+1Af4X2F8yvC6ibaLfm53d/DTA7Ysw4anx4dxpia4fMs9WsZmx4b5j3IBpjBGczwItn2U9i9j5BPHpdF0uKhddIVrpeAH57NZuV0Ov17wE8A//MJ/51CCCHuUwpatytadwUtbdIKnS5oxfoW0S1p17egOsC5Et8uCeuDNDurPAB3C7NcpYA1Mmk6fNSpR0urNDtL55APoRhgBxcwg/NkO09jz36YfHBOBpWKh96JBq7ZbPbaXb9tSMViIYQQp1RaLN0FLd+k0Q7+dtDqKlrtglh2Qau8BeU+TVtBWOKXB+AOYbUPbp6Gl0YPhDTegTz1a6nu8/QAih7k29jhOezoCezO09gzH6J4h43w0lclTqN7ClzT6fSvAZ8EPgL8xmw2++Rd7+0Cvwr8KHAT+NRsNvunb/rzl7v3f/mBXLUQQogH6u6gFX1LjG0KSyYFI6Usvl0Q1zeJbkmzPkSVN2lcRWwXhPImtEew2Ie4BNf9f+wQUkULusBmU4UsG6TxDtkW2fACdusJzM6HsNtPU/SHm7wVQpyIe61wvUoKSz8GvPlIyD8gVa+mwEeB/3U6nX5pNpt9BWA6nU6AfwJ8Uvq3hBDilIke5RtCHYi+SUHLuxSSsl4KWs0RsTwgugXN6hZxvY8LJbGdE8p9qOew3AfW0DaAT3sNFSmwYYjaEunBcKc7dbhNNnqcbOsKdveD2O2rZJlMhBePrnsKXLPZ7DcBptPpnwUev/36dDodAn8R+PBsNlsCX5hOp78F/BXgF6fTqQX+R+Bvz2azP3nQFy+EEOKdSYula1Q7R4WW4Bz4NgUtk6N0lk4clod3gla9T9sswS0Jq5vQdI8OqaB1QHtnaGmWASqt3qEg9ovUo7V1kWx0kXz7CtmZ7yabPCmN8OI94X57uD4AuNls9rW7XvsS8PHu1/8e8H3AZ6bT6WeAfzibzf6nt/vQ6XT6M8DPAFy8ePE+L1EIIcRtKWg13WLpBuVWqNhCyMEUdwWtA2K7pFkfEKsZbbuCdkVY7UO9D+UhqDU0DlTX5xV1d3rRpBOMagi9PuRjWjfGZxcZPfmvpUGl44vSCC/eU+43cI2A+ZteOwLGALPZ7J+QHid+R2az2a8AvwLw3HPPxfu8RiGEeM97Y9BqCaFOgSs6ospB9whunprh2xVteUAor9M0R6hmRahuQXkzPT6kgqZOzfC+G3qq8nTqkB7k4zSotL+F7V9Ejx6jbi7RjK8yfPL9m74VQmzE/QauJTB502sTYHGfnyuEEOIBOF4s3a67xdJ1Wv4cwamcX/tyzZdeP+THnrzJL37UEetbhPV1mmaOaubEKvVsUS+AFuoVqNj1eRlQNvVp6R5kYyj60NvBji5gJ09idz+E3Xma5jW36VshxEbdb+D6GmCn0+n7Z7PZ17vXvgf4yn1+rhBCiPvwpwUtTA4Yfvn/eInPfW1J7RXfnEf8ap//9MpXoS2J1Y0UtJpl+nPVCkzsRjzo1JtlszRDq7gdtvbIxhfIxu/Dnv1I1wjf667oYHM3Q4hT4F7HQtjuaw1gptNpj9S7tZpOp78J/J3pdPpTpFOKPwH84EldsBBCiG8vBa32uEcr+KoLWhFMAVHjmznUt/gX10pqn/qoKq/4wuuWv37mGpQ30mJp10CzBuVTI3zUoIo03sEWkPchn0Bvj2x0iXz3Ktnud2Em78NaWb0jxN3utcL1aeC/vOv3fxn428BngZ8Dfg24DuwDP3t7JIQQQjwqnn8hVWhO61DNO0GrBF/fCVohpoqWMsdBKzQrXHXI929HvnJzhzoaesrxA72vwtE1aKv0I7gUtJSGaNLjQtXNz+rvQG+XbPIE+fZVst0PYcePY4zZ9K0Q4lS617EQnyWFq7d67xbwFx7cJSXT6fQTwCcuX778oD9aCCEeKdE3dwWtGkLdLYHOiUYRm0XqzWrXuOqQev4asdnn5y8sWB1c5PeW53l29A1+Yfy/Qdl0k+Uj5AZCloKWHqSxDoNt1GBKNnqCfPsZ7NkPUgzPb/oWCHHqnfQuxXdsNpt9Hvj8c88999ObvhYhhDiN4u2KlqvuClqxC1qaWM+JzUEXtG5RL1/rJsXPYb2PrQ74jye/B72SvSJ00+EVZBZit5y6GKbHhsNt7PAiZvIkxe4HMdtPkw9OZ7VPiNPo1AYuIYQQby2G9s5iaV+Dr7pm+KwLWgtic0hwS9z6FtXiFVR1SGgOYX0D6iOIFazXqVcLB96AyUDb1BCfb0NvBP097OgCZusqxd6HsFtXyHrjTd8CIR46EriEEOIhEYNLuw5dlXq07g5aIRLrZRe01iloza+h6iNifXu0w1Gqgq1XYD24ivQBFrJ+Gu2Qj6G3BcNd7PASdusp8r0Pkm1fxR6fOBRCfKckcAkhxCkXgyP6mtiuu6BVp1OH2hAjhHoOzTJVtMoDqqMXiOUtaOfE8mYKWr6Bcgm6BudTj5fKgAxUD0a7YMcwPEs2fpJi9/3YnWcwkyewVnYcCnG/JHAJIcQpc/tE5A9dnhB99+jQlURfo2I6NRiB0CyhXeKqBb66Rb14gbi+Bc1RGu3QLlI4W69BNeACENL8rKwHZohngLZbsPs42eQyvd1nsDtPY4YX5cShEA/QqQ1cckpRCPGeFT3K14TaE11N8CUqBJTugla7JDZLXL3ArW/i1i8SlvvQHEB5C9wiNcCvlqBqCAEUYHqQ5WD7UOzAcBdXb+NHlxlf+TPYnQ9gB2dlmbQQJ+DUBi45pSiEeK+JMRBdhWrnKF/h6xzVhaU0ZmtFbFa4Zo5b3sCtXiKsb0J1E+rDVNFqu0eHseoeO6pu7U4O2Qh62zA6hx5eJNu6Qlk+hhs9Sf/x98kyaSFO0KkNXEII8V6RFkvXhHZNdBW6OUSFFsIWMSqCr4j1EtcsaFfX8YtvEqr9VM1qDqFegl9DWQJNV9GKYAdg824a/A4Mz2HHF8m2nyHbexo7uYx71QNI2BLihEngEkKIDUlBqyG4NbFNfVoEjwqOiCK4mlgvcO2CZvE6YXWtq2jdSo3wzQpcN9ohtmkyPBpsL506zEfQOwujs9jxZYq992O3n8aOL2PzfncV786Ow9M6oV+Id4sELiGEeJfFGFNFy62JbZX2HoYWYiAqQ4wluq1ol1DPXyauXySsbj86nENbQrtKP/uaNNpBd4ukh1BspdU7w/Nk209RbF8l234aPbyAzWW0gxCbIIFLCCHeJWnfYZMeHbblXUHLEVVG9A20K3R5A7u6RtUcEMp9WN+EZpkCVrOApoZYAx4wKWj1R5BvQX8PNb5EvnWZbOsD5HsfwAzPo7X8z70QmyT/DRRCiBN2HLRceSdouQoIRGWJ3kF7RFMvqOfXyG9+HVtdJ5QVVEfpa6tVGnQaasABFvQYBkPId2BwDjV+jGL7/WQ7V8l2nsL0z6K1jHYQ4jQ4tYFLxkIIIR52KWilfYfRlYR2Ba7kOGi5ltjMaZsj6vk1WFwjlDfpL2fQLsG3UK6gXZNClgcyMFsw3IZsDKPH0OPHKHbeT7bzNHb8BKa/K6MdhDhlTm3gkrEQQojTwvnAr//eK3zp9QU//sxZPvPDV7Dm2weatw5aawiBoEx6r57j2jnV4Quo5YuE9XWoF9AcEldzVCihargTtCzYLeiNoX8WxhfQ48v0tp/Cbj9Dtn0Jk0/ktKEQp9SpDVxCCHFa/N3f/gb//I+uU/vIiwcvoYDP/sjVt/zaGNpuvEOJb1eodgkxEpRNQatd4No59cH/R1xcI65vEJt5mg7vSlitUXENVIABLBS76cTh4BwML2C3nqLYu0q2fRUzuoTNh+/i3RBCvBMSuIQQ4m387jcOqH0EoHSB3/nGt45SiKFNS6XbVQpaboUKvgtaFaGd45ol9eEfE+avwPpGaoCv5hCWaaF0bICGtOgw7xZJb8PgAowukm9fIdu+Sr57FT24gM0H7+p9EEK8cxK4hBDibXz8yg5ffn1B7SN9q/lzV+7MlLoTtNb4dpEqWsETdA6uIbgjXDOnPvgaYfEirA+gPUpBy63SVHgcqaKlgQzoQ7YNe5dg+zK97avYrSvkO1cx/XNoW2zmRggh3jEJXEII8TY+88NXePmo4ouvLfjEM2f59A9fIQbX9Wet8c28e3QYUtAKDa66iW/nNDe+Sli/DNUBtHMoD9J4h2oJtEBNClpDKPrQ26VVU/zgcfpXPoydXCXbuoIZ7KFNttkbIYR4xyRwCSHE27BG81f/9cf4q8APXR4TfYlv1/j64E09Wg1tdYAvF7S3/piwfDktlK6P0o/b4x2oux8GGEJvBL0zML6En7yP/+6rz/AHL2/z7+izfOZHPkiWSdAS4mF3agOXjIUQQpwq0aN8ja8cvr6VFkUHCDoj+grXHuDWR7jDrxLmL6ZqVj3vdh2uU0N8qEk9WhqYQH8C/TMweRK7c4VifIW/99Xz/ObLFbX//9m7sxjJr+zO7997/2usGRm5RGatrCo2yWYvWg2MWhK71eCMDUkNGzBg+GGMlhdpYMEGJECAraUxsiXABgZ+sAE/jGDLerI9hiVr3GO/GBDUtLWru9l7k2JzryWyKjMyY/uv914/3H9mVZEUm01WMrMqzwdIVGVWd2REAoz84dxzz3G89re7BNFrf2+DvhDi4XFqA5eMhRBCnAbOGpwp0MUEVU0xcwcWv4LHltT5hGq5R73/Am76GtRz359VHfhqVpXh+7MMoP2w0rQPrRGsXiMeXCEaXCPqXyPonefPvvQChcmAv79BXwjx8Dm1gUsIIb6f517xYeQ4FiM7Z3F1jikXuGIfnb8JzuHcKs5k1NWUajHxQWv2+t2gVe5BUTTDSg/X74QQ9JsZWudh7XHilY8Qr1wlGjxG0NlGR22UUu/aoC+EeHhJ4BJCiHs4Z8EU1MUMVxzgqn2/G9o6tKuo8jHlwZh68newfLMZVrrwQavK31LRCv1U+NYAuudh8BE/qHTlKvHqVYL2Jjps3ff936lBXwjx8JPAJYQQHAatkrqc4fIJrpr6ipZS2LpE53fQ2Q7L5S1YvA75zM/RKg58j5bL8RUtC4QQrUK6Ct1LsPoU6eoV4tWrhN3HCNrrf+9oh3sb9I+jcvdWH8b3EEJI4BJCnHHOuaaiNcXl+7i6CVqArQrq8oBqeotk52vE9W0IllDModq/58bh4fqdBKIOtIbQv4Za/Qit1avNaIdL6HSADuITfb1CiJMhgUsIcSb5fYcldX7gK1r1rOnRcti6pC4nVAdvUB+8AvkNkuW+n6EVLJv+rBIfspqglaxBsgKDJwnXniRduYoeXCPqnUfHK+hA3m6FOMvkHUAIcaYcBa3iAJcdBi2LteDMgrqcUh28ST35HhS3IJtCMYHFFFiCNfiwBZBAugbxOgweJ9z8GOngKsHKNcL2FjrpoXVwgq9WCHFaSOASQpwJzjmcKTHFvRWtJmhVM8p8HzO/Qb3/EuRjf2yYH/iJ8PUMf3RY4t82U0j60NmC1Y8Rrz1BMriK7j1G1NtCR12UUif7goUQp4oELiHEI8/WBabYb3q05uAM1ji/UDrfp1rcwOy/BMs7UM0h2/O3D+vDo8Ma3wzfhnQF2udh7WPEa0+SDK4R9h8j7Kyjwo4ELSHEOzq1gUsmzQshPihrCkw+web7flG0MxhjseWUKtulXr6J3X+1CVozyHahyMAs8KMdLH4qfAvoYVrn4PKPka49QbTyGNHKFYJ0iApbErSEEO/q1AYumTQvhHi/bJ3jyil1tgf1AmcqrHPYfEqV36aeX8fOXoHsDmQzKPb90aHLgax5FAV0oD2EzhWW0TVs/3H6j3+CqH8Jna6gw/QEX6UQ4mFyagOXEEL8oI6CVj6Bao4zFcYZXDGlym5Tzt6A2av+yDDb97sO8wU+ZBXNozQVrfY6rDyO2vgorcETFNkGLj1PMrokox2EED8wCVxCiIeerXNccYApD3DlDExN7UrsckpdjCknr8DyBhR7sNz3/VnFEjjs0XJAAKoH7TUYPIFef4rW8EnC4UeIOtuY6zXoUMKWEOJ9kcAlhHjgjnPH4X3qDG0W1HNwxcw3x9sClx9QZXeo9l+B5XU/P6s4aHYdHvZn5fhqlvZBq7sBK08Tbj5JMnyScOUqUWcLFXX9DC0tS6SFEO+fBC4hxEPFOYerc1w1I8hvoaoZZplg6gyKCcX8DvXBy5DdaI4ND3zgqjN8NasEAiAGOtA7BxufIBo+Trz6FNHgKlF7HaKOzNASQjwwEriEEA8FH7QyXLXAlPu4co7Od8Bk1FNDme1QH7wK2XVYTpsdh/vNMukl/sZhE7SCvl8mvfE08fBJouGTRP0rRJ01Ge0ghDgWEriEEKeacxZX59hqji2nuHKGqXNsNSNc3sDld1gux7C86Sta5dQfHZrDHq2mP4sEwh70HoPNj9EePokaPEEyuEKQDmS0gxDiWEngEkKcSs4anMlxdeanw5dTTLXEVnPMco/lfIf/4RsBz0/P89Pdil8d/AVhOQV7eOsQ/FtcBEEPVq/BxtN01p5ErT5FunIFFfdQQSJBSwhx7CRwCSFOFWfrJmjlmHKKKw6oyzmumlMv9igWN2H6Ov/N313kD29/nNzFfC8fooo7/NrK/4qvaEVACNEA1p5ArT1Ne/gR9OpHSfqXUEkXHSQn/EqFEGeJBC4hxKngbIWrC5zxQYtiSlUe4PIZdXaHYn4T5m/Acgeyff5i/0fInR/RkBPz5/lTsNJUtOIBrH+cYP0J0sGT6OFTJP3zzY1DGesghPjwndrAJat9hHj0OefAVlhTgCl9RSs/oK4m9wet6euQ3/YDS8sZ5At+Ivw632VEQUJKwafSFyA5B+sfJ9z8KMnKNfTqk6T9cxA2ox2EEOKEnNp3IFntI8SjywetEmtKH7SqGTY7wJR3oJxTLXcoZjdg/iYsbsNyF8wc8sNG+JpfXfnfyJXlb/KP80zvDX7lyTnRxr9DPHiCcPVJos4IFXcf2GiHY58pJoR4pJ3awCWEePQ4Z8E0QcvWPmjlB5hsB6op5aJZvzO/CdkOLP2KHso5flBpjR9WGhIGHf7J6t/wH/YXXL72I8TDnyJauUbY2UDHXZTSJ/tihRDiHhK4hBDHzgetommIrzDVHJvvY7JbkE8p5repFq/B7DoUd5qgNYPqcPWOwY92iEB3oLMFGz9MYS9Q9h+n95EfQadr6EhmaAkhTicJXEKIY+OsAVv6oGVrTDXHLHex+Q7kB2TTMWbxPZjfhvyOPzqsl1Av8EHL4itasZ+h1T0Pax8jHX2caOUjFAdDTLJK2DsnQUsIcapJ4BJCPHi2RrkKV4c+bFVLqsUYm+3g8n3y2Q3M7HVY3IJ8zy+VLnPfp3XvMmliiHrQvQhrnyTd+ijRyhPEvUuo9hBT5wAStoQQp54ELiHEA+NsBaZE2RxsjS0c1XKMXY6x+YRydot6+jIsxlBMILsDVQHWN8LfXb8T+tEOvcsw/Bjp6JNEgysk/YuQDgnCtPmO+Ym91uMkDfpCPHokcAkhPpDD0Q7OluAcztaocorK71DenlNn+1SLG9STl30jfL7rdxyWJbgFUHG3opVCMvDrd9Y/QTr6BPHKNeLeFsRDgih91+cihBCnlQQuIcT7cjjawdmqCVoGU2XU85tEBy+i8n3m5R3cweuQ34TFBMoDqEru3jiEox6t1hBWPgLDp0k3P0EyuELUGUG8ShDJVHghxMNNApcQ4gdyONrB2cp/bg11tcDMb6CWt1jOJ/z+10q+ur/CM70Jv7ryHcJqD+oCX80yzSNpIIXOOqxc8T1aGx8nWXmMqLOOSoYyFV4I8ciQwCWEeE/uvXF4+HldLTDTN1HZmDLbo5i+zD/7xip/eOspchfzcjZAZTv82sof4YOWBhTQhv4G9K7Axo/Q3niauHeZsL2GSgYStIQQjxwJXEKcoOdemQCnu0na2boJWr4y5ZylzqaYxXVUtkOxHFPuvwSzN2Cxy1/s/bvvsOPQ4YNW1wetlWvojR8mXf8Yce8iQWuAlqAlhHiESeAS4oz4QcPd4Y1D56z/HIfJD6inb6LyHfL5Laq9l/xC6WzH3zrMl++w4/A7oHvQ2/RBa/NHaa19jLh/Hp0O0FEPHUqPlhDi0SaBSwhx5PDGIba6J2iByfeoZ9dR2R2ygzep978L8+uw3INyH4oMWACaX135Y3Jl/I7D9vf4lQvfgrXPEGz+KO3h7Q/xugAAIABJREFUk0S9c6hkhSDqgY5khpYQ4kyQwCWEeNuNQwBjLK6cYObXIdtluf8aZu+7sHizCVoHUOX4ZdIhvj/LEqqAX175Exh9g7XzHyfa+sekg48QdbdRyYAgaoOOJWgJIc6UUxu4RqPR54DPXb58+aSfihCPLOdsM0PrnqBlLa7YwyxuwvI2i/2XMLsvwOIm5BPIDsAs8TcO/SJp3xAfQ9KH9jZ5cIVq/Yd47PFPEHW2UfEKQSxBSwhxdp3awDUej78IfPHZZ5/9xZN+LkI8at462gHAmBqX72OWb2IWd1jsvQT734H5DT+odHkArsTPz1IcVrT8DK11aI9g+DTx6F8jXw6xyTrJ8DF0mEIQo5Q+mRcrhBCnwKkNXEKIY+AMrs6ORjsAmLrCFRPM8ibVbEw2eRF2X4DlDaj2YTHl/vlZCh+0WtAeQPscrH2UdPvHSfqX0O0R5pYFHaOTvgQtIYRAApcQZ4KzNcpkPnDZBJTC1gU238MsxpTzW+STb8Pui7C85Y8O8zk+aIEPWOBb6FvQHUJ3GwYfp7X9Y8S9C+j2JkHSRwcRLlyC0hK2hBCiIYFLiEfYfaMdnAEHts6x+QST3aaYvkGx+23Y+26z5/AAigVQcvfIEECBbkN7FXoXYONpOus/RtjdvidohaATlA5APZpLpYUQ4v2SwCXEI+aty6SPvlYv0dUB1aSmOHiVYvw1OHgBlrv+xmF5uEg6xFeyLKAhbENnAzrbsP5DdDY/SdjdQrc2CeJeE7RilJa3EyGE+PvIO6QQj4h3Gu1gjQGzxJYzgvkrhItXme59D3a/C/kdKGdQZfhG+ABf1XJABFGrCVoXYOOTdDY+QdDeJOhsEcZdf1wYJBK0hBDiPZB3SiEecu9049DaGqoFpppjsj2yyQu0r/8V0eJlYB+yBdgCf3SYcPf4MIK0B+kQupdg84doDz9K3Bmh2puEyWHQilE6OpHXK4QQDyMJXEI8pN66TBrAmrIJWktMvke2823q238L01eI93bwQ0oNPmiF+KpWjR/t0IfWEHqXUeufpDV8iri7hW6tE8QdUAoVJBK0hBDifZDAJcRD5u3LpB3OlFAvqMslJt8l2/k6ZufLMHutGVY6B3KOqlgEgAPd8kErGcLgCuH6D5EOHydsj3zQito+aOkYdQoXS5/mpd9CCHEvCVxCPCScrcEU9y2TdnUOVUZdZ1SLMcvx83D7eZi9Atk+lBm+Ed41jxIACoImaMWbMHyMaPgJkrVrhOkmur1GEHWOgpbsOxRCiA9OApcQJ6Q2lj/42+t87daMn39qgy989iph8Pa5VfeNdgCss1BnuHqJqUvKg+tk46/A3ldh9qavaJUVUOCHlIIPXAHQhe4A2puwcoV47WniwRXC1mHQagP4apas4RFCiAdGApcQJ+R3/uRl/uW3dyiM4/XJGyjgt//h48DfM9rBGpxZ4uocU5dU0zdZ3vxr2Ps6zN/wFa2qwPdkae5OhI8haUPVwbTX4cLTxMOniPtXCFvr6NYQHbVRSvn+rCCRoCWEEA+YBC4hTsiXXp5QGB+mstrypy9P3nm0g62gXOJcjqkNxeQV8pt/DZPnmz2HU6gO+7PuGe2gYojbEA+pO1v8t9c/w5evb/OPkg6/+dFtkvYAFd4btGTfoRBCHBcJXEKckE9fXeUbt2YUxtEKNZ+50sdVc+CwEb6CeoFzJaauyPdeonjzL+Dgm7C4BfkUTIk/LtT4sGVBp5B0IFnz63f6V/nvXv8k//u4S2EVr33LEXUs//SzHT9DK0gkaAkhxDGTwCXECfnCZ6/y5n7G8zen/PyTq/zGM9tN0Mp9j5atqMucfPcFyvFfwp3vQHbTT4S/L2g1R4c6gXTQBK0t9MpVosEVkv5F/vLrjqKZ05XVji+9NvPVLR2c4E9ACCHODglcQpwAZ2sCV/ILPzyAHx7wqUt9nMmwVQaupioW5Hvfobr1V3D721CMoczB3NsI34x2CFNIVyEeQm8L3b9CPLhK0r+IStcIWit8+uou37w9vltNu7omYUsIIT5EEriE+BC99cYhpka5HJvXOFtT5zOy29+iHv8l7L0I5W0/2sEU+GrWYUXLQNyCeAWSEfTPEa1eQXcukK5cQKXrBHEPFbVRSvOFn+lyfWZ4/taCzz21wW999urJ/RCEEOIMksAlxDF7pxuH1lZQZehqH5yhymbMbn4Dxn8F+y9ANYEih6N1PYdhy0HchWQArU1YuUjUv4DuXiTtnke11gji7tFx4eG+w0iHfP7HL/J5ZFioEEKcBAlcQhyTt944PApe9RJnS6ypUfmYcPINZte/BZPvgdmHLMOv3zmcnaVAKYg6zY7DLeicJ1q5jO5uk7a3Ue11gqSHClr3BC3ZdyiEEKeFBC4hHrC3LpP2jfCFb4R3JbauKee3WO58hd4rf0Vw8DJEme/RwjSPEgIOgtAHrWQDepvQuUjUP4fu3BO04g4qbPkbh7LvUAghTqVTG7hGo9HngM9dvnz5pJ+KEO+JD1rF0TJp5yzOFLh6Ca7GVgXl7CbL8Vfh9ldg+grBYh/IoVT43qzmP8kwhLADnU1ob6O654h65wm654lb6+jWOjruoMLUhytZwyOEEKfaqQ1c4/H4i8AXn3322V886ecixLtx1jRHh/XR584UOJPjTIkpFpTzG+Q3vwyTr8P0NahnUJbcXb+T+AcLI4i60B5B5zxB9xxh/zy6s03SWkMlA3TSbSpah0ErOnVreKRPTAgh7ndqA5cQp52zdRO0/DGgtRXUBc6UOFtiihnF9BWKm8/Dna9DdgPqOZRF8wgBEAEKotQfHbbPQe8CYXebsLOF6m6TJKuodBWd9PxxYRADsu9QCCEeJhK4hPgB3TvawTnnP68LnC2wpsSW+2STV6nGX4Xdb0F+HcolVGXzCOqejxbQgcElGDxGmK4Tdkfo3jniaKUJWn1UkBwdF8q+QyGEePhI4BLiPXjraIejG4h17oNWVWDLfRZ3XsLced4HrWLHj3YwBXf3HDpQIUQJxD2s3qRMLxNunyfsjNDdLeK4j4pXUGkfHaagItl3KIQQDzkJXEK8i7ePdvA3EK3JwFbYckG13CU/eBUz/gpMXrg7rLQu8UFLAQHoGMIEkj70LqIG1yiWESYeEY+uEcddVNzxfVphenRcKPsOhRDi4SeBS4h38LbRDtb43izjdxy6Yk65HLPcfxnGX4Xp30Gx5/uzTIWfodXM0QoTCGJIhrByAT24RpSsQrJGEfRQcYu0twXxShO0IpTSfvWOTmQFjxBCPAIkcImHxnOvTIDjvQH39huH9VHQsqbCFQdUyzHLOy/C7vP+xmE58TcOTQXUHPVnhS0IUj+stH8FPbhElK5AskbQvUAUxVBDHfTQ7c2moiVBSwghHkUSuITg/huHR/1azW1DW2XY8oB6MWa58x3Y+yYsXoVy2qzfsUDF0RytMIGwDa016D9GMHiMMO6hWpuE3S3CMEIHbWitYqclqAAVpEdreJSW/yyFEOJRI+/s4kx7+43D0n9uSmy1wBT7FNMblHsvwN63YPEmlAe+omVr/LGhBSKID4PWJvSvEK5cIkx7kI6IOiOCQPuglQwIojZOhTg9A6XvTooXQgjxSJJ3eHHmHFawsFUTtJqJ8Kb0jfDFlK++8gZqcZPHwldh8iIsb0A1haICd7hQuunRirt+hlZnBCtXCDsXfNBqjYg6GwRao4MUkmHToxWCDlFK4XQz7kHClhBCPNLkXV6cGW8b7dD0a1lT+D/zA+r8NvnBDtGNv6a1+B6oSTOstAJ3WNFyoDQkvSZobUP/KlHnHEHaQ7U3CVubBBq0TiBdRYdtH7IO9x3quBlcWn2/py2EEOIRIIFLPPKcs03QakY72NpXskyOrQoo9qmWd1hOX8Pd+Q5MX6E1vQlVDqpuKloGUL46FXcg7kNnC/pXibtb6LiP6mwRtoYE4CfCt1bRQQe0ln2HQghxxkngEo+se0c73G2Er/yg0nqJK6bU2ZjlfhO0Zq9Avg9mCdUSsOCsf7Aggajtg1bvAvSuEnfW0ckA1R4RtlYJcKgg9tPhw64PWEF8avcdCiGE+PBI4BKPnHtHOxwNLjX+KNEWU0xxgMlus5y8CrvfheWrUBxAnUGRgTP48Q5A0PLHhskq9M+h+9eIWkNUOkS1R0TpAI1FqdB/LWw3Yx2a6fCy71AIIQQSuMQj5P7RDk0jfNMcb/M96nyfenGbfP97TSP8TSimUGU+bNkaH7Q0kABd6G9A7xxh/xpRZx2SAaQj4tYKytU+SCXr6Ljn/340HV7W8AghhLhLApd46N032sEanG3mZ5UFlPvU+S71co988iLsfxeWt/0MrbqAyjfMH413CNoQd7FugGmfJ7r0JGEyhGQV1dkiinsoV6FwkKyh4i46CO/ZdyhreIQQQrydBC7xUHr7jcOmEb4usHWOyyfU5YRqsUO5+x3YfwWyHagXvqJlajALfDXLQtCBpAvtLeheoLDr2HhINLgI7XWiqOcrWlhIhqi4hz46OtTvO2gd59R8IYQQp4cELvFwce7oqNBZ60c11CXW+UGlLt+nyu5Qzm5ST17yjfDLXR+uqgLqCmyOH1aqfSN8MoDOOrQvE69eJkhXMPsRVbxBtLLVHB06VDKEqNMELVnDI4QQ4r2TwCUeCs5ZlCnAVdg69MeAtsI287P8jsNdiul1zPRFOHgDignYBdQllHUTtJrxDlEX0lU/2qF7nrh/iaA1IGhtYtM16rJEKYNWDhWvQtwl0CHuvsXS8UM1sFSqaUIIcXIent8W4ky6b5m0LVC2wlYzqCtsuYsrplTZLvn0Bnb/RZjegHrSNMIXzcDSDN+jhQ9arTXonIfeBeLeNkE6IGiPsMmQMGqBrVCqwAY9VOecD1oqBB2gZd+hEEKI90F+a4hT6b4bh9bgTImqFqg6w8wm1MUEk03IJ6/CwcuQ3/SjHWzpRzvUZTOwtAaUnwqfjqA/gvYF4u42YTpAtzewySZhFPmg5Qwq6lPHbVQYoYMEdNgErdjfPhRCCCF+QBK4xKlyf9Cqm16tkjJf8Adfvs7ztw3Pbhf8pxe/QTh/BZZjv3rH5L5Hq8rBWqAANLSHEK9D/zy0tkj65wjSAbp1GLRCMCXKGYi6qLhHEMQQznA6RAWRnxovQUsIIcQHIIFLnAqHox2sNeBqnPHHiLaY4oo9fvfPZvwfL4cUNuLVqcLsKn5t42Vf0SpzPxneWY4GlrbWoLUF3W1ob5GunEPHfYL2Fq61QagDMAXK1j5oRd2mmqVBR6BznI7QUfdEfy5CCCEeDRK4xIm5d7SDs9aHJ1NhbYUtJv7GYb5PvbjFc69vUNgVAHIX8uez89CbQTnH3zh0oBy0htDahu456G3R6pzzVav2Jq61QaA12BJlLUQdVNz3U+KD8L59hy5og0yHF0II8YBI4BIfuqN1O7byTfGmxLkKW5e4Yhdb7FMv9jHLWxTTN2D+Bj+RPM131Y9SuJhUlXwq+haUB/4BFdAZQroNvXPQ2abV20JFKwTtNVy6SRA0FS1nIEhRSR+lElRT0bp3DY+xjj/48g2+dmvGzz+1wRc+e5UwkEGmQggh3j8JXOJDc98y6cPbh67GFEtcsYcp9zHZhGp+k3r2GixuQb4Hdc6vDl8jz2f8TX6NZ9Lv8iv9fwVKQ3cN0nPQPY/ujUg6I1S8QtAe3g1ade6PDoPEV7R0gtJvXcOTHO07/J0/+R7/8ts7FMbx+uQNFPDb//Dxk/3hCSGEeKhJ4BLH7r5l0rbpzzLNoNJsj7qcUWe7mPkN6vnrvhG+mkBVgimhyAmrjF9e+RewolgLYmhv+mpWuoXubpN0NpqgtX5P0FqiTBO0oi6ECVoF33ff4ZdenlAYP0Yiqy1/+vLkJH5sQgghHiESuMSxuf/GYYWrfXXLFlNcuUddTKnmu1SzN3D5GOY3oJ5CVQEV5EsoM/93HBBCsAmjy9DZQre2STprBOkqqrUBrQ0Cha9o1eXdoBXEaB3eE7TefQ3Pp6+u8o1bMwrjaIWaz1yVgaFCCCE+mGMNXKPRaAX4f4CngX8wHo+/eZzfT5wO9904PGyKNyU2n2DzCXVxQL28Q7m4AYvb/uiwmoA1YGvI535wKTXgIEqhvUWl1nDxNnr9MmlvDZ2sotIhqrWJ1gqqpV8qHSTouI3T6dv3Her4+67h+cJnr/LmQc7zN2d87qkNfuuzVz+Un5sQQohH13FXuJbAzwH/7Ji/jzhh9984NE3gKnF1gc32sNUEk88x2ZhieguyW7DcgWrmF0m7CooFlAVQAg7C1E+E75+D1jmqvI1N1+isX4B0tQla2gct60BHPmgFKUoHqPe57zAMNJ//sfN8HlmHI4QQ4sE41sA1Ho8r4PZoNDrObyNO0HMv76FcyU9e6uKMP0K0psTWOS7fwxQTbDGlXtyknDUhq7gD1QKMAVP4GVp1Cc4AFcQd6GzDyiWI1wk728SdIWY/oI7W0MPHUFqj6hxqc0/QStA6wqnQBy5ZwyOEEOKUeE+/iUaj0X8C/ALwCeB/GY/Hv3DPvw2B/xH4R8Ad4NfH4/H//MCfqThVDm8cKrMAW+Mq3SySnuGKXUw5p1ruYxdvUmW7vj+rnEC9BGOhzqFe+OnwCrAVxF3oXoX+BYjXiXrniNqrBPEAlQ6pqxCnQ7SroKpBRaikA0F6FLRk36EQQojT6L3+RroB/C7wrwOtt/zbf48/AxoBPwz8X6PR6Gvj8fhbD+xZilPj/tEOFar2gateLJqgNaOcT3D5LarFbchuQ7ELdeZ7tOrCDyutStCAMhD3oH0RetvQWiPuniPsrBFEfVQ6RLfWQQeoO7dQpgRSVNw7ClroUPYdCiGEONXeU+Aaj8d/BDAajX4cuHD49dFo1AH+beDj4/F4Dvx/o9Ho/wT+PeA/f/BPV5yUw9EO1lS+V6s5NlT5mKDcp0qhWtzBLneo8wOYX4dy1wcsB5jML5WuMtAKtIG4D90L0LsA6YCkd56gNSSM+5AO0emaD1p1BnWFQ0HYRiV9tI79vx1Oh5d9h0IIIU6xD3rm8gRQj8fjF+/52teATx9+MhqN/m985evJ0Wj0z8fj8R98wO8pPkSHox0Og5Y1Ja7OsNkerpgQLG6jyx1Km1Hlu36GVnEHaut7sqql33VoClAWtIV0FXrnoXMRWmskvRFBskqYrEAyIGit+z6seuEb6lWIijq4KAIVocPWfWt4DifFCyGEEKfVBw1cXWD6lq8dAL3DT8bj8c/+oA86Go1+CfglgHPnzn2Q5yfep6PRDqZqAleBrXJcvosr96mKGWaxQzK7jsv2qRYTqPabSQ4VFDMoClAVYCBQEA98Nat7EdVaI+5uEaYDgmQFkhWCdM33YZklyi58j1bY9keHQYwL5j5cHR4bNnO1hBBCiNPugwauOdB/y9f6wOyDPOh4PP494PcAnn32WfdBHku8d/eNdjisaNU5tlpgszvYckZdzLDLMXU2wRYToukb6GoGoQJ1OEMrB10DNQQhJOvQPQ/dC+h0jai3RZQO0HEfklWCdBWnI6gzlF36ilbYbhrfm3EOOgJd+MAVdiRoCSGEeKh80MD1IhCORqOPjMfjv2u+9kOANMw/RO5bJm1KMBXWZJj8AMoJppxSZTPs8iZVNoV8F/LbUM3QuV88jc3BVGALcDWo1O857F1spsKvE3V80ArSPi5aIUhXIYh90CqXTZhq+a/ppBlaencNjws6/hhRwpYQQoiHzHsdCxE2/9sACEajUYrv3VqMRqM/Av7L0Wj0H+F7tf5N4FPH9YTFg3N449CasqlmFWAyTL6PKybYekG5vIPLd6mWC8h3oNiBcgnGgSqhmKEoIDA+aIUpdDahdwnaW+jOGlF7RJSsEKQruGgFnQ58qDI5FFPf/H4UtGK/77BZJn3fvkOVnfSPTAghhHhf3muF67eAf3rP5/8Y+C+A3wZ+Gfh9YAfYBf5jGQlxut29cfiWoNU0wttqSbXYxRV3KIulH1aa7YD11S8o/VR4a/DLBAyELWiNoHMJuiN0a42oMyKKV5qK1hCd9iBI3hK0ElAhhK23r+F5l32HQgghxMPkvY6F+G18uHqnf9sD/q0H95S80Wj0OeBzly9fftAPfWYd3Tisy+bPHFsuscUelAdUxRLTzM0qi6UPWfkdf1PQGGABWe6b4m0zsJQYkgFsXoP2BkFrg7AzIkr6BEkfFw7QrX4TtMr7gpY/Jrx3sfQPvoZHCCGEeBic2lHc4/H4i8AXn3322V886efysLt747CpaJkcU8z9jcNiSlXOsdltbHlAXSxheROqXSgcUIDNoPAhDdcslA7a0BlS2Q1sa4Nw/SJBZ5s46aLjHi4a3FPRKtHlDKs0KvTzswhSlA5RKmr2HkrQEkII8eg6tYFLfDDPvbwHruKnL3WxpsDVJc5kmGb1jqvmlPkcl+9gqwV1duCDlplApfyxn8uhyH2FixqcgjCB9hp0L0Jrk7Lo4pINWsMROl7BxSsEaQ+nY7CVD1pa4wIfrAhStAr90aHsOxRCCHFGyG+5R8zhaAdVL8BVmMLg6gxTTHD5BFsvKbMp5GPqYokt57C4AWYGFeAKv4an8tUwv1BaQdKBeOgnw3fWiVub6M4WdmJx0Qqqd5Eg6eB0jLM1ulpgcbgwRqHuBq0gaipbErSEEEKcHfLb7hHhnG2OCwu/VLqeoeqMalpDMcHUS+psH1fsUpcZtjyA+S0w82YqfOHX7pgS6gqo/dFf0oV4DboXUN2NJmhtEIZtdNynKgJU2CZoreKcQddLrHPYw+qVTtGB33eodChreIQQQpxJErgeckejHeq8uXG4xJYZevEaQT3FJCHVcg/KXYypMdmOX79jCh+sbOH/Xh3eQLSgFKQrkGz4YaWddaL2Orq9QRS2UfEKJKu4MOV/+n93eH5nys9eq/j1Tw0IgwClgCBBB3ETtO6u4VFBfNI/MiGEEOJDd2oDl9xSfHdHox3qHGdKXL3ElgtsvosrZgTZbXS5S6Vqaltjs7GvaFFBZcDOm2NDB/XS3zjUgb9x2FqDznl0e5OovYZubRDFbVTUh2SNIE5wOuZ3ntvhj/9uSWHg9ekcpTRf+Mw2WkegAh+uZN+hEEIIcXoDl9xSfGd3RzvkuLrwFa1i6kc7VAuqYonN7hAtdnC2olRTP97BWKhLqGdQ11AbsEtQGsLIHx22N6F1Dt1eJ0zXCNobRHHLV7Ti4VHQAoe2Oc+9tqAw/nllteO5N0p0kDYN8fqB7zt85srqA3kcIYQQ4sN2agOXuJ+zFa4ucKbA1Tm2zjD5Hi7fx9VLqmIO+R2syajKgmDxBkE5gSqAOgez9EHLVv5zrSBuQ9SG9ga0t9GtdYL2JmG6ShS1UckKpOsEYYjTCQDallhncSrgmYsp37xdUhhohYpPXxn4xdLNxHipaAkhhBCeBK5T7PDGoW+EL3B1hi2XmGIfl09wJqMqDnDFHqbKMWUByxtQHqDKHG2a+Vl15Y8OTQFaQ6sLug2dNWidI2htoltDwtaQKGqhklVI1wjC4P6gBTh/5xBUwG/+zAVuLq/z1VsFP//UKr/1M1dQ0aMxHV6qaUIIIR4kCVyn0OEyadtUs1ydYYsZtpxAOcOUGVU5hXIPU5aYcg6LW1Af+B2H9ZIwm+KM8QGrzCHQkHYg6EB7CK2LhO0hur1GkBwGrcH9QUsplClxOBwa5WrQEYQpWkdoHfH5Hx3xeRXyU9dGj0TQEkIIIY6DBK5T5O6Nw8wfHVZLbDXDZr4/y9QFVbaLqg4w1mLyCSzGUC+acQ6FPzq0gKn8UmnbglYPwq4fWJpsE3aH6NY9QSsdQjIgCCPfo6UUylY46wCFdhangaDjh5U2Ow6VDnFBG5SWsCWEEEK8Cwlcp8DdG4cZrvL9WbaYYPN9MEtMnWEWe7h6hnEWs5xAdsM3wZui6dHKfHXLGT/eQdcQ9KG96j/SbaLOOrq1ho5XfDN8uoZKBuggvBu0XI2rbfN3A0GEUy0/rPQoaN2zhkflJ/3jE0IIIU69Uxu4zsJYCGcNzuTNseESW2XYYh+b7+FMjilzbHkbV2YYazDLw2XSBZSVnw5vm8XSh0ErCH1FK4qpkzUYXiLqrqHTIUEyIIxSVLreBK2gCVrNcaGxOAUKAwQQde5fwyP7DoUQQoj35dQGrkd5LISzNc4U2GoJdYYpF9h8gqsOcHVOXWW47Da2zn2v+/xNyPZAGagKKGdNyGpW7xgLUQJxp5mj1WeZDdDxKsn6ecJ0lSBMmqC1ig70PUHLgK1wOBQG5TSEbbQ+DFqyhkcIIYT4oOQ36Ifoue/toGzBT5yPcdWSupxCcYArZ7i6pCwOUNUEYypMXeIWt2A5AW2hXEA9B+egqnz4ckAYQtKCZAXSVWhtEbXWsLMEG7dJuhs+aKVDtFa4w6GkzqCswSqHcvVb9h3G9wStWNbwCCGEEB+QBK5jdjTaoc7Q5R6qzqhnFltNUcWC2uTU+QGq3Mc6S13kkF2HfAZYqBZ+3yH4qpat/d/DEIIupD1I1qA1IkwHhO0BQbSCqwwmWUcPLvqKlgpBBWgsOIvFgatRDtCJnw4fRHfX8Mi+QyGEEOKBOfOB67lXJsCDn7t0NNqhXuLKBbbK0NkNdHmAmQfYusAUe7hyhrEOU8xheQuKBWjj/7QLX9EyFVgLKoAogqgD8Yo/Pkw3iNprBOkKQdRDRx1sus7v/U3G127X/Bs3D/itZ7YIlQVncCiwpZ+lpeO3By3ZdyiEEEI8cGc+cD1ozlm/cqdaQL3ElEtctY/N9wmyO7i6pJqVuHqOtY66mEI2hjIDDJQHYPNmUKkBV/tZWlEEcdcfHSZr0N4kTlbRcZcg7qOjNro9QsU9/qs/m/DHLxUUBl778j4axRc+vemnzOOgmaFF8+HX8Mi+QyGEEOK4SOB6QPyNwwJbzaFaUldzXLHvV++4GlPmBMUtVJVhWy2qbBfxOMYHAAAPu0lEQVTy21DlvoJVTMGVvpKF9bsOQw06bkLWCiRDaA2boNUniH1FS7c3UXEPHWhQMc+9Udy34/BLry34Qp1D0FS0dHi0ekfW8AghhBDHTwLXB+RvHObYco6rl9T5DMoJrppjTYmpMigmmLqAao5a7FEx9zO0bAn5gQ9aNaDxA0zDGOIU0i6kfQjXoTMkTVdwYY8w7jYVrS1U0kMr5UOT1oDjmUsdvrmT391xeLmNClv3hSulI3/zUIKWEEIIcexObeA67XO4nK1wVYat5s2NwwModrFlgaOmzvehmmFs4QtWsxvE07E/JgwcFBOghgoIjV8snSS+CT7uQ9KFZAPVWiVJ+hD1CcIWOu6hO9uouPO2oAXgnOI3fnLAzYMFX92p+bknBvzGM1uoqHVP0IplMrwQQgjxITq1ges0zuE6unFYLXwFq8r8IuliH1vlOFdg8gWu2sdZh7EFdj5u+rIqtJmjywVoBZWBwPoeLRLo9CDsQLoCrSEqHfqgFfYIwja61Ue3ttBxx49waHqv7j43DbZA2ZpQBfz7PzLkF4j4iasbR2t4CB6NxdJCCCHEw+bUBq7TxDl3T3/Wgrpc+N6saoqzFbbKseWBv5FoKmpT4Ja3oJj5nqx6BsUUtyz8A1oNzoJqjg2THiR9SDdQ6aAJWm2CsINO++j2FkHS9UUsFaKCw0nvAQ4HJkfZGqcCXJCigggbKFAafXiMKNPhhRBCiBMjgetdOGdxpsQW+1BnVMUcqgNccYC1FdgSk+1jzdwfG1YLbDaGYu4DVTnzHwC1IXAWFBC0IQp9I3xrAPEQlayQJH7JdBCm6HS1CVqd5rQwRIUBKAVOg3I4k6NMhdMBLmw163ea1Tu6xukYFbZO8CcohBBCCJDA9Y78aAdftXLlgrqcQTHxPVvOV7RcMcXUcxRQ5geQ70Cx9EeE1QyqDHB+7Y6zEChMmKKjCNprkA4gXUMnA+KoDWHH92ilq+j2NkHSpklnR0FLNRUt5wq/4keHuDBtbh7G9+w7jHFBfbI/RCGEEEIckcB1D2cNtlriygNstcSUUyj3mkZ4iy1muHKKsSXKGqp8H8o7UOR+Anx10AQt5atSxviJ8LrVNKqnVOEKrGwTpF2iqOuPDqMWOllFt88RJIcVqQgV6CZoaZxSWFP4xdUqgLCFJoAwkX2HQgghxCknv50BbN00v08x1QJbHEB54JdH27qZFD/HuQqsocrGfhJ8Ob9/tINxoJzv2wpiSDoQJP7PdINikWCiLmlv6CtaTdAKuhfQUYpPaYdBSx8FLWcKnMkBfc90eL/jUPYdCiGEEKffmQ5czjlUsYs2C+pZiC32oJxjrMHZEpvNmv6sGusM9ew2lPtgCzBLyKZABfbwAY0fKpp0IU4g6kK8DnGfIOr4m4Q6JWitodMhQef8PUErvC9oofQ9QYtm32HQVLFk36EQQgjxMDnTgQtA53fQ5W3MNMDYCuVqTDbF2iWurjAmx+b7kE/9yp1qDsUBYMAFgPZVrqjlP+IUYt8IT9InjDrEcQuiNjavMfEa0fqT6DBpnkHgbx0qjcL3ajlb4qqcu2t4msnwQXy071DW8AghhBAPjzMduIwx6OI2yswxeYCtD7B1Bs5RVUtctgvV1PdNVcvmCLEGQt/P7ioIWhC2fEUrXfVBK+4Rhm3ipAVhG6UTbDLkn78R8fxtx8/emfEbP9UiikLf5O40aO2HqZZLjoKW8hWtu/sOI1nDI4QQQjyETm3g+jAmzSulUCYjKMZUS+XnkVZzXD6Bcgp14W8clkt/0xDd9GjVEKYQdiGOIRlAsomKuwRBSpwkELZQuoVurxF0LvC7fz7lj1/apzDw+lcO0EHEFz5zzh8duhpXNqMkDvuydHy0ekf2HQohhBAPt1MbuD6MSfN5WfH733J8dfIYn9k84FcufJ3Qzv1C6XoG5aKZgaUAA2hf0YpaEIeQrEG6jo67aBUTJymEKUq30Z01gvZ5dBiDczz3Rv72hdLOYatpMwQ1RAWRD1xB+tDsO3zmyupJPwUhhBDi1Du1gevD8F8/9zp/eH2Vwga8smhBvsevjf4U6rwJWhqoQUcQdH3VKUyhtQrpJjpuE+iEKIwhSlE6QXdGTdCKwLkmSGk+/ViXb+4UFMbRChXPXExw5bQJWBHosAlaWvYdCiGEEI+YMx24vvTyHoX1K29yF/Lnk3UYHo5fMH6qu+5B2AStdAitdXTYIdChD1phggrStwQtjoKW0gGOgN985gLXD0qev7Xk5x7v8Os/OUSFhxWtRPYdCiGEEI+wMx24nrmyyrduHVC4kFRVfKr7uj89VAqinp+lFbSgtQatNXTQIgwiwiBqBo6m6O42QWcbHRwGLX/r0AetEKU1zhq0XfAffDzEfWLIP7i8CqoJWjrwQUv2HQohhBCPrDMduP6zn77I7ov/iq/MNnim/zq/svWXkK6ACiFsQ3uIbm2AjonCiEAdBq02qrNB2D3/fYKW9Quv62YNj078+Iewe88ankSClhBCCPGIO9OBSznLP9l+nnDlDhurPdB9P7Q03UCn6+gwJNARwdFk98Ogde6dg5byNwyPgpYpcSqAIEarEBdY0KH//8oaHiGEEOLMONO/8aMogmgFktwvlE7W0a0hOowJlEarCBUmqKCDaq8Rdppbh+ArVfcFLYWzDmsWUOe4ZrSDVroZERFCYHEqRkWdk33hQgghhPhQnenApbWmbm1ggw7h6jlUEKMBre8GLd3eIOg2PVrgg5Z+h4qWyXB1BvcFrfS+NTwuqE/09QohhBDiZJzpwBUEAXX3CYLiJmFzxHcUtDobBJ1tgiDG4fzR4WHQwk9+d85h6wxXLwHVBC2F0wkqTI7W8KggPumXKoQQQogTdKYDV13X6HqJIkbHHVTQbYLW1lHQctxzdEiECoKmolXgqoV/IB2hlfZN8UGM1lr2HQohhBDiyKkNXB/Gap8wDLHJGqreJ+hfefegpTWgsHWBqxdHa3g0ChckECRN0JJ9h0IIIYS436mdsDkej784Ho9/qd/vH+v3qTuXKXqfIO5fQgcRDu2DVBSDTlE6RWmNNRW2nOCqWXO8GKOCBOI+OkzRYYIKO80QUwlbQgghhLjr1Fa4PgxKKVTUhrpsgpZGByGoZq2OAltXOLPwC6uVP1K8u+9Q1vAIIYQQ4vs704ELwKkQtPUVLRU3R4gOa2pcPUdZc3extIpR4cMRtGSptBBCCHF6nOnApZTygSsMUEEKKKypoF6AqUCHfqm0jlBhS/YdCiGEEOJ9OdOBC/AjHFyFs8Y3w9clLohQQeTHRAQtWcMjhBBCiA/kTAcu5xzKFqh6iStqnA4gjNAqhCD1gUuClhBCCCE+IAlc9QKcwQUR2ikI2z5oKS37DoUQQgjxQJzpNKG1H1aqXe6PDg+b4IPYN8ULIYQQQjwAZzpwOedAx1gV+zlaQSJBSwghhBAP3JkOXEopXLPnUEfdE342QgghhHhUnenABYCWxdJCCCGEOF4yTEoIIYQQ4phJ4BJCCCGEOGYSuIQQQgghjtmp7eEajUafAz53+fLlk34qQgghhBAfyKmtcI3H4y+Ox+Nf6vf7J/1UHphnrqzKUmkhhBDiDDq1gUsIIYQQ4lFxao8UPyxScRJCCCHEcZMKlxBCCCHEMZPAJYQQQghxzCRwCSGEEEIcMwlcQgghhBDHTAKXEEIIIcQxk8AlhBBCCHHMJHAJIYQQQhwzCVxCCCGEEMdMApcQQgjx/7d3v6F61nUcx99zR5zOlo7ph0h0UYkxxYUDEUkDKzMIwdODgYrzUWwYaPhAYaZNfeCTDNpcCBYRJtaYEYp7bBFFkqgMZfi3Vp1vm1i6/JOD04PfvXEcqfjgun83XO8X3JxzruuG+8P5cl2/7/X7Xdc50sBsuCRJkgZmwyVJkjQwGy5JkqSB2XBJkiQNzIZLkiRpYMsWFxd7Z/hQSQ4Arw78MWuAgwN/hj4+6zJ7rMnssSazybrMnmnV5KyqOu3YjTPfcE1DkierakPvHHo/6zJ7rMnssSazybrMnt41cUlRkiRpYDZckiRJA7Phau7vHUD/l3WZPdZk9liT2WRdZk/XmngPlyRJ0sCc4ZIkSRqYDZckSdLAbLgkSZIGZsMlSZI0MBsuSZKkgdlwSZIkDWyud4CekqwGHgC+Rvv/SrdW1S/6phq3JCcA9wFfAVYDL9Lq8njXYAIgyeeBZ4FdVXVN7zyCJBuB24EzgQVgU1X9tm+q8UqylnYOuwh4F9gF3FhVh3vmGpMkNwCbgPOAh6pq05J9lwE7aMfLH2nHy9D/rxlwhmsH8F8gwNXAziTr+kYavTngr8ClwCeBrcAvJycx9bcD+FPvEGqSfBW4B7ge+ARwCfBS11C6D/gn8ClgPe1ctqVrovH5O3AX8JOlG5OsAXYDt9Eu6J8EHp5WqNHOcCVZCcwD51bVIeB3SX4DXAvc0jXciFXVf4A7lmx6NMnLwAXAKz0yqZnMpPwL+D3wuc5x1Hwf2FZVf5j8/LeeYQTAZ4DtVfUOsJBkD+CF/BRV1W6AJBuAM5bsugrYW1W/muy/AziY5Jyqen7oXGOe4TobOFxV+5ZsexoPjJmSJLRa7e2dZcySrAK2Ad/tnUVNkuXABuC0JC8k2Z9ke5ITe2cbuR8CG5OclOTTwBXAns6Z1KyjjfPA0Qv8F5nSuD/mhutk4I1jtv2bNi2vGZDkeOBB4GfTuPrQh7oTeKCq9vcOoqMCHA98C/gSbfnqi7RlePXzBG0AfwPYT1u2+nXXRDriZNo4v9TUxv0xN1yHgFXHbFsFvNkhi46R5Djg57R77G7oHGfUkqynPcRwb+8sep+3J19/VFX/qKqDwA+Ab3TMNGqT89Ye2n1CK4E1wKm0++zUX9dxf8wN1z5gbvLU1RHn49JVd0mW0Z4eDTBfVe91jjR2XwbWAn9JsgDcDMwn+XPPUGNXVa/TZlAWl2xe/IC3azpW055+215V71bVa8BPsQmeFXtp4zxw9F7uzzKlcX+0Dddk7XY3sC3JyiQXA1fSZlXU107gC8A3q+rtj3qzBnc/7aS0fvL6MfAYcHnPUALaYP6dJKcnORW4CXi0c6bRmswyvgxsTjKX5BTgOuCZvsnGZfK7XwEsB5YnWZFkDngEODfJ/GT/94BnpnXLymgbroktwIm0R3gfAjZXlTNcHSU5C/g2bWBfSHJo8rq6c7TRqqq3qmrhyIs2Lf9OVR3onU3cSfszHfuA54CngLu7JtJVwNeBA8ALwHu0RljTs5W25H4LcM3k+62Tc9Y87Rh5HbgQ2DitUMsWF52BliRJGtLYZ7gkSZIGZ8MlSZI0MBsuSZKkgdlwSZIkDcyGS5IkaWA2XJIkSQOz4ZIkSRqYDZckSdLAbLgkSZIG9j9Zu4tg5mejbwAAAABJRU5ErkJggg==\n", 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" ] diff --git a/uravu/distribution.py b/uravu/distribution.py index e7052a2..9e51e93 100644 --- a/uravu/distribution.py +++ b/uravu/distribution.py @@ -109,12 +109,16 @@ def negative_pdf(self, x): @property def dist_max(self): """ - Get the value that maximises the distribution. + Get the value that maximises the distribution. If no :py:attr:`kde` has been created (for example if the distribution has fewer than 8 values) the median is returned. Returns :py:attr:`float`: Most likely value. """ - return minimize(self.negative_pdf, x0=[self.n]).x + try: + return minimize(self.negative_pdf, x0=[self.n]).x + except AttributeError: + return self.n + @property def min(self): diff --git a/uravu/relationship.py b/uravu/relationship.py index 32a3724..13f35a5 100644 --- a/uravu/relationship.py +++ b/uravu/relationship.py @@ -114,6 +114,19 @@ def variable_medians(self): medians[i] = var.n return medians + @property + def variable_modes(self): + """ + The mode values for each of the variables. + + Returns: + :py:attr:`array_like`: Variable modes. + """ + modes = np.zeros((len(self.variables))) + for i, var in enumerate(self.variables): + modes[i] = var.dist_max + return modes + @property def mcmc_done(self): """ diff --git a/uravu/tests/test_relationship.py b/uravu/tests/test_relationship.py index 146499e..5af5f0c 100644 --- a/uravu/tests/test_relationship.py +++ b/uravu/tests/test_relationship.py @@ -104,6 +104,17 @@ def test_variable_medians(self): r.max_likelihood('diff_evo') assert_equal(np.allclose(r.variable_medians, [1, 0], atol=1.5), True) + def test_variable_modes(self): + r = Relationship(utils.straight_line, TEST_X, TEST_Y, bounds=((0, 10), (-1, 1))) + r.max_likelihood('diff_evo') + r.mcmc(n_burn=10, n_samples=10, progress=False, walkers=5) + assert_equal(np.allclose(r.variable_modes, [1, 0], atol=1.5), True) + + def test_variable_modes_no_sampling(self): + r = Relationship(utils.straight_line, TEST_X, TEST_Y, bounds=((0, 10), (-1, 1))) + r.max_likelihood('diff_evo') + assert_equal(np.allclose(r.variable_modes, [1, 0], atol=1.5), True) + def test_mcmc_done(self): r = Relationship(utils.straight_line, TEST_X, TEST_Y, bounds=((0, 10), (-1, 1))) r.mcmc(n_burn=10, n_samples=10, progress=False, walkers=5)